Complete step by step solution: Given the number to simplify is $\sqrt {245} $. First we will find the square root of $245$ by finding its prime factors. Square root of a number can be simplified by prime factorization of the number. Prime factorization involves expressing a number as a product of prime numbers. The prime factor of $245$.How to Simplify the Square Root of 28: Sqrt(28)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...We know the square root of 4 is 2; √4 =2 and the square root of 9 is 3; √9 = 3 Therefore, the number of irrational numbers between 2 and 3 are √ 5, √ 6, √ 7, and √ 8, as these are not perfect squares and cannot be simplified further. Similarly, you can also find irrational numbers, between any other two perfect square numbers ...Algebra. Simplify square root of 6* square root of 12. √6 ⋅ √12 6 ⋅ 12. Combine using the product rule for radicals. √6⋅12 6 ⋅ 12. Multiply 6 6 by 12 12. √72 72. Rewrite 72 72 as 62 ⋅2 6 2 ⋅ 2. Tap for more steps...Algebra. Simplify square root of 192. √192 192. Rewrite 192 192 as 82 ⋅3 8 2 ⋅ 3. Tap for more steps... √82 ⋅3 8 2 ⋅ 3. Pull terms out from under the radical. 8√3 8 3. The result can be shown in multiple forms.Free Radicals Calculator - Simplify radical expressions using algebraic rules step-by-stepAlgebra. Simplify square root of 54. √54 54. Rewrite 54 54 as 32 ⋅6 3 2 ⋅ 6. Tap for more steps... √32 ⋅6 3 2 ⋅ 6. Pull terms out from under the radical. 3√6 3 6. The result can be shown in multiple forms.🐯 Step-by-step explanation of how to find the square root of 89.I'll show you how to simplify the square root, write it in simplest radical form, and then h...Answer and Explanation: 1. Become a Study.com member to unlock this answer! Create your account. View this answer. To simplify 9 √245 we can factor 245 into parts that can be reduced and combines like terms. Now, {eq}\displaystyle \begin {align} 9\sqrt {245}... See full answer below. Algebra. Simplify square root of 175. √175 175. Rewrite 175 175 as 52 ⋅7 5 2 ⋅ 7. Tap for more steps... √52 ⋅7 5 2 ⋅ 7. Pull terms out from under the radical. 5√7 5 7. The result can be shown in multiple forms.What is the square root of 245 simplified? Expressed as a surd in its simplest form, sqrt(245) is equal to 7 sqrt(5). What are the two integers between the square root of 245? Two of the integers are -2 and 5. How do you simplify the square root of 245? sqrt(245) = sqrt(49*5) = sqrt(49)*sqrt(5) = 7*sqrt(5)Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.10.1: Simplify Radicals. Not all radicands are perfect squares, where when we take the square root, we obtain a positive integer. For example, if we input 8 in a calculator, the calculator would display 2.828427124746190097603377448419 ⋯ and even this number is a rounded approximation of the square root.Square Root of 96 Solved Examples. Example 1: Estimate the square root of 96 using the approximation method. Solution: The number 96 lies between 81 and 100 (two consecutive perfect squares). So, the whole number part of the square root of 96 is 9. For the decimal part we will use the formula: (96 – 81)/ (100 – 81) = 15/19 = 0.7894.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.First group the numbers under the root in pairs from right to left, leaving either one or two digits on the left (6 in this case). For each pair of numbers you will get one digit in the square root. Square the 2, giving 4, write that underneath the 6, and subtract. Bring down the next pair of digits.How to Simplify the Square Root of 9: sqrt(9)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https:/...The online square root calculator can symplify surds root quotients in exact form. Thus, for calculating the quotient of the following square roots 72−−√ 6–√ 72 6, just enter simplify_surd ( 72−−√ 6–√ 72 6) the result 2 ⋅ 3–√ 2 ⋅ 3 is returned. Thus, for calculating the square root fraction following 99−−√ 6 ...Complete The Square. Example: 3x^2-2x-1=0 (After you click the example, change the Method to 'Solve By Completing the Square'.) Take the Square Root. Example: 2x^2=18. Quadratic Formula. Example: 4x^2-2x-1=0. About quadratic equations Quadratic equations have an x^2 term, and can be rewritten to have the form: a x 2 + b x + c = 0To simplify an expression with fractions find a common denominator and then combine the numerators. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Simplify any resulting mixed numbers. Show more.Simplify square root of 85. √85 85. The result can be shown in multiple forms. Exact Form:We can write 245 as product of its prime factors245=5×7×7∴245= 5×7×7= 5× 7 2=7 5As any number has two square roots i.e. one positive and one negative root, we can write,245=±7 5.We can write 245 as product of its prime factors245=5×7×7∴245= 5×7×7= 5× 7 2=7 5As any number has two square roots i.e. one positive and one negative root, we can write,245=±7 5.To simplify the square root of 245 means to get the simplest radical form of √245. Step 1: List Factors List the factors of 245 like so: 1, 5, 7, 35, 49, 245 Step 2: Find Perfect Squares Identify the perfect squares * from the list of factors above: 1, 49 Step 3: Divide Divide 245 by the largest perfect square you found in the previous step:How to Simplify the Square Root of 80: sqrt(80)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...Square root calculator and perfect square calculator. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. …Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.We can write 245 as product of its prime factors245=5×7×7∴245= 5×7×7= 5× 7 2=7 5As any number has two square roots i.e. one positive and one negative root, we can write,245=±7 5.The value of the square root of 289 is equal to 17. In radical form, it is represented as √289 = 17. There are two methods by which we can calculate square root without using a calculator: one is the prime factorisation and another is the long division method. We will learn here both the methods one by one to simplify the root.Square Root of 56; Square Root of 61; Square Root of 63; Square Root of 65; Square Root of 68; Important Notes: 64 is a perfect square as the answer obtained after finding the square root is a rational number. The square root of 64 can be simplified to 8 either by using the prime factorization of 64 or by expressing 64 as a square of 8. Think Tank:Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.The difference is that the root is not real. If the value in the radicand is negative, the root is said to be an imaginary number. The imaginary number i is defined as the square root of negative 1. \[\sqrt{-1}=i\] So, using properties of radicals, \[i^2=(\sqrt{-1})^2=−1\] We can write the square root of any negative number as a multiple of i.How to Find the Square Root of 245? As 245 is non a perfect square, the square root of 245 is found using the long division method. The simplified radical course of the foursquare root of 245 is given below. Simplified Radical Class of Square Root of 245. 245 is expressed as the product of 49 and v. It is given as:Express In simplified exponential notation. 18a^3b^2/ 2ab. heart. 7. Load more. New questions in Mathematics. what number is 10 x the size of 72. Write an algebraic expression for the quantities being compared in the following statement. The price of Concert A tickets was one-eighth the price.1, 4, 9, 36. Step 3: Divide. Divide 180 by the largest perfect square you found in the previous step: 180 / 36 = 5. Step 4: Calculate. Calculate the square root of the largest perfect square: √36 = 6. Step 5: Get Answer. Put Steps 3 and 4 together to get the square root of 180 in its simplest form:Algebra. Simplify 5 square root of 45. 5√45 5 45. Rewrite 45 45 as 32 ⋅5 3 2 ⋅ 5. Tap for more steps... 5√32 ⋅5 5 3 2 ⋅ 5. Pull terms out from under the radical. 5(3√5) 5 ( 3 5) Multiply 3 3 by 5 5.Let's see how to find the square root of 10 using the long division method. Step 1: Divide the number 10 by 3 (because 3 2 = 9 is a perfect square number less than 10) Step 2: Take the same divisor 3 as the quotient. Multiply the quotient and the divisor and subtract the result from 10. Step 3: Take the same quotient 3 and add with the divisor 3.INFORMATION SIMPLIFYING A SQUARE ROOT. Simplifying a square root means taking all perfect square factors of the radicand out of the square root. Assume a 2 is a perfect square factor of the radicand. This factor can be taken out of the square root by dividing the radicand by a 2 and multiplying the expression by a. In the simplest form of a square root, the radicand does not have any squared ...Algebra. Simplify square root of 99. √99 99. Rewrite 99 99 as 32 ⋅11 3 2 ⋅ 11. Tap for more steps... √32 ⋅11 3 2 ⋅ 11. Pull terms out from under the radical. 3√11 3 11. The result can be shown in multiple forms.Popular Problems. Algebra. Simplify square root of 25. √25 25. Rewrite 25 25 as 52 5 2. √52 5 2. Pull terms out from under the radical, assuming positive real numbers. 5 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.In step 1, we need to make our first guess about the value of the square root of 245. To do this, divide the number 245 by 2. As a result of dividing 245/2, we get the first guess: 122.5. 2. Next, we need to divide 245 by the result of the previous step (122.5). 245/122.5 = 2. Calculate the arithmetic mean of this value (2) and the result of ... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Factor 245=7^{2}\times 5. Rewrite the square root of the product \sqrt{7^{2}\times 5} as the product of square roots \sqrt{7^{2}}\sqrt{5}. Take the square root of 7^{2}.Rewrite 100 100 as 102 10 2. i⋅√102 i ⋅ 10 2. Pull terms out from under the radical, assuming positive real numbers. i⋅10 i ⋅ 10. Move 10 10 to the left of i i. 10i 10 i. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math ...To simplify the square root of 245 means to get the simplest radical form of √245. Step 1: List Factors List the factors of 245 like so: 1, 5, 7, 35, 49, 245 Step 2: Find Perfect …Algebra. Simplify square root of 192. √192 192. Rewrite 192 192 as 82 ⋅3 8 2 ⋅ 3. Tap for more steps... √82 ⋅3 8 2 ⋅ 3. Pull terms out from under the radical. 8√3 8 3. The result can be shown in multiple forms.Put the equation in standard form. x2 − 9 = 0. Factor the difference of squares. (x − 3)(x + 3) = 0. Use the Zero Produce Property. x − 3 = 0 x − 3 = 0. Solve each equation. x = 3 x = − 3. We can easily use factoring to find the solutions of similar equations, like x2 = 16 and x2 = 25, because 16 and 25 are perfect squares.In mathematical form we can show the square root of 245 using the radical sign, like this: √245. This is usually referred to as the square root of 245 in radical form. Want to quickly learn or refresh memory on how to calculate square root play this quick and informative video now! So what is the square root?Pre-Algebra. Simplify square root of 147. √147 147. Rewrite 147 147 as 72 ⋅3 7 2 ⋅ 3. Tap for more steps... √72 ⋅3 7 2 ⋅ 3. Pull terms out from under the radical. 7√3 7 3. The result can be shown in multiple forms. How to Simplify the Square Root of 54: Sqrt(54)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...How to Simplify the Square Root of 9: sqrt(9)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https:/...The procedure to find the square root of 30 using the long division method is given as follows: Step 1: Write the number 30 in decimal form. To find the exact value of the square root of 30, add 6 zeros after the decimal point. Hence, 30 in decimal form is 30.000000. Now, pair the number 30 from right to left by putting the bar on the top of ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.How do you simplify 245 ? 7 5 Explanation: Write 245 as the product of its prime factors to find out what you are working with. 245 = 5 ×7 ×7 ... sqrt (249) No simplification exists, Root remains : • sqrt (249) Simplify : sqrt (249) Factor 249 into its prime factors 249 = 3 • 83 To simplify a square root, we extract ...Finally, the value of square root of 18 is: √18 = 4.24264068712. Which is an irrational number. Facts: Square root of 18 is a not a natural or a whole number but an irrational number. 18 is an even composite number. 18 is an imperfect square, hence no natural number can be squared to get the original number.Pre-Algebra. Simplify square root of 255. √255 255. The result can be shown in multiple forms. Exact Form: √255 255. Decimal Form: 15.96871942… 15.96871942 …. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.How to Simplify the Square Root of 45: sqrt(45)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...How do you simplify the Square root of 245? Answer Verified 304.5k + views Hint: First we need to find the factors of the given number to calculate the square root. Factors are the number which completely divide the number without leaving any remainder behind. Square root of $245$ can be calculated by prime factorization of the number.Follow the below steps to find the square root of 900 using the long division method: Step 1: Write the number 900. Now, pair the number 900 from right to left by putting the bar on the top of the number. Step 2: Now, divide the number 9 by a number, such that the product of the same number should be less than or equal to 9.Algebra. Simplify square root of 10. √10 10. The result can be shown in multiple forms. Exact Form:FIrst off, we cannot have a negative on any of our even roots (square, 4th, 6th, etc.) without getting into imaginary numbers. So if you are asking (-.5)^(1/5) we could write the square root sign with a raised 5 on the crook of the root sign, and a -.5 inside.The final answer [latex] 3\sqrt{7}[/latex] may look a bit odd, but it is in simplified form. You can read this as "three radical seven" or "three times the square root of seven." The following video shows more examples of how to simplify square roots that do not have perfect square radicands.The simplified radical form of the square root of 288 is given below. Simplified Radical Form of Square Root of 288. 288 can be written as a product 2 and 144. It is given as √288 = √2 × 144. 144 is a perfect square of 12. Hence, the square root of 144 is 12. 2 is not a perfect square, hence it remains within roots. √288 = 12 × √2 ...How to Simplify the Square Root of 80: sqrt(80)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...Find the product of the factors obtained in step 3. This product is the required square root. Using the steps above, here is the math showing you how to simplify square root of 244. 244 = 2 2 61. ⇒ 244 = 2 2 61 1. Therefore, √244 = √(2 2 61 1) √244 = √ (2 2) √(61 1) = 2 √61 Then, the square root of 244 simplified can be expressed ...Simplifying a Square Root Example 1. Step 1: Find the prime factors of the number inside the radical sign. Step 2: Group the factors into pairs. There are two of the number 2 and two of the number ...Algebra. Simplify square root of 108. √108 108. Rewrite 108 108 as 62 ⋅3 6 2 ⋅ 3. Tap for more steps... √62 ⋅3 6 2 ⋅ 3. Pull terms out from under the radical. 6√3 6 3. The result can be shown in multiple forms.Algebra. Simplify 9 square root of 245. 9√245 9 245. Rewrite 245 245 as 72 ⋅5 7 2 ⋅ 5. Tap for more steps... 9√72 ⋅5 9 7 2 ⋅ 5. Pull terms out from under the radical. 9(7√5) 9 ( 7 5) Multiply 7 7 by 9 9.Anees Apr 12, 2015 4 7 Detailed Solution 2 2.2.7 2 (2)2(7) ... How do you simplify 7 28 ? 7 28 = 14 7 Explanation: Simplify: 7 28 Prime factorize 28 . 7 2×2×7 ... sqrt (286) No simplification exists, Root remains : • sqrt (286) Simplify : sqrt (286) Factor 286 into its prime factors 286 = 2 • 11 • 13 To simplify a square root, we ...The procedure to use the simplify square roots calculator is as follows: Step 1: Enter the number in the input field. Step 2: Now click the button "Calculate" to get the simplified value. Step 3: Finally, the simplification of the given square root value will be displayed in the output field.Algebra. Simplify 3 square root of 45. 3√45 3 45. Rewrite 45 45 as 32 ⋅5 3 2 ⋅ 5. Tap for more steps... 3√32 ⋅5 3 3 2 ⋅ 5. Pull terms out from under the radical. 3(3√5) 3 ( 3 5) Multiply 3 3 by 3 3.Here are the steps to find the square root of 225. Step 1: Write the pair of digits starting from one's place. Here 25 is the pair. Step 2: On finding a divisor "n" such that n × n results in the product ≤ 2. We find 1 × 1 = 1, follow the process of long division and obtain the remainder. Here it is 1.Algebra. Simplify square root of 384. √384 384. Rewrite 384 384 as 82 ⋅6 8 2 ⋅ 6. Tap for more steps... √82 ⋅6 8 2 ⋅ 6. Pull terms out from under the radical. 8√6 8 6. The result can be shown in multiple forms. Algebra. Simplify square root of 160. √160 160. Rewrite 160 160 as 42 ⋅10 4 2 ⋅ 10. Tap for more steps... √42 ⋅10 4 2 ⋅ 10. Pull terms out from under the radical. 4√10 4 10. The result can be shown in multiple forms.Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.The final answer [latex] 3\sqrt{7}[/latex] may look a bit odd, but it is in simplified form. You can read this as "three radical seven" or "three times the square root of seven." The following video shows more examples of how to simplify square roots that do not have perfect square radicands.The Square Root of: The Work. 240−−−√ 16 ⋅ 15− −−−−√ 16−−√ 15−−√ 4 15−−√ 240 16 ⋅ 15 16 15 4 15. 240−−−√ ≈ 15.491933384829668 240 ≈ 15.491933384829668. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 240 up above ...Follow the below steps to find the square root of 900 using the long division method: Step 1: Write the number 900. Now, pair the number 900 from right to left by putting the bar on the top of the number. Step 2: Now, divide the number 9 by a number, such that the product of the same number should be less than or equal to 9.Square Root of 245 Simplified to simplify the square root of 245 in radical form. Radical 245 simplified gives step by step instructions on how to simplify ...So what I'd like to do first is say the principle square root of 8 that can be simplified a little bit because 8 is the same thing as the square root of 4 times 2 which is the same thing as the square root of 4 times the square root of 2. So we can rewrite this entire expression as, the numerator is still the same, 16 plus 2X squared. ...sqrt(228) Simplified Root : 2 • sqrt(57) Simplify : sqrt(228) Factor 228 into its prime factors 228 = 22 • 3 • 19 To simplify a square root, we extract factors which are ...How to Simplify the Square Root of 24: Sqrt(24)If you enjoyed this video please consider liking, sharing, and subscribing.Udemy Courses Via My Website: https...The square root of 60 is expressed as √60 in the radical form and as (60) ½ or (60) 0.5 in the exponent form. The square root of 60 rounded up to 10 decimal places is 7.7459666924. It is the positive solution of the equation x 2 = 60. We can express the square root of 60 in its lowest radical form as 2 √15. Square Root of 60: 7 ...Algebra. Simplify square root of 252. √252 252. Rewrite 252 252 as 62 ⋅7 6 2 ⋅ 7. Tap for more steps... √62 ⋅7 6 2 ⋅ 7. Pull terms out from under the radical. 6√7 6 7. The result can be shown in multiple forms.Algebra. Simplify square root of 20. √20 20. Rewrite 20 20 as 22 ⋅5 2 2 ⋅ 5. Tap for more steps... √22 ⋅5 2 2 ⋅ 5. Pull terms out from under the radical. 2√5 2 5. The result can be shown in multiple forms.Algebra. Simplify square root of 175. √175 175. Rewrite 175 175 as 52 ⋅7 5 , Simplifying Square Roots. Simplify. 1) 96. 2) 216. 3) 98. 4) 18. 5) 72. 6) 14, Free Square Roots calculator - Find square roots of any number step-by-step , 3. Find the square root of the square number. The square root of 4 is 2. Therefore can be written as . as a simplifi, 👉 Learn how to find the square root of a number. To find the square root of a numbe, Square root of 40. 40 is the multiple of 4 and 10. As we already know, the root , 9, square root of, 245, end square root. 9245! . Solve. Evaluate. 63\sqrt{5}\ ... sqrt(2484) Simplified Root :, The steps to obtain the square root of 16 using the long divis, Click here👆to get an answer to your question ️ Simplify : , Detailed step by step solution for cube root of 245, In this video I show how to simplify the square ro, The square root of a number is defined as the value, which gi, When we can't simplify a number to remove a square root, FIrst off, we cannot have a negative on any of our ev, Square Root of 500 in Decimal form rounded to neare, The square root of 20 is expressed as √20 in the radical f, How to Find the Square Root of 240? The square root of , Input the root value e.g 4√. Input the number e.g √7.