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Step VI: The product obtained in step V is the required square root. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method. A square root of a number 'a' is a number x such that x2 = a, in other words, a number x whose square is a. (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. All information in this site is provided “as is”, with no guarantee of completeness, accuracy, timeliness or of the results obtained from the use of this information. Step V: Find the product of factors obtained in step IV. Step IV: Take one factor from each pair. Here is the answer to questions like: Square root of 2601 or what is the square root of 2601? (iii) Combine the like square root terms using mathematical operations. Thew following steps will be useful to find square root of a number by prime factorization. See, below on this web page, details on how to calculate this square root using the Babylonian Method. Find an answer to your question Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION) For example, 4 has two square roots: 2 and -2. (i) Decompose the number inside the square root into prime factors. Volume to (Weight) Mass Converter for Recipes, Weight (Mass) to Volume to Converter for Recipes, Manually calculate the square root of a number with Javascript. Use the square root calculator below to find the square root of any imaginary or real number. See below how to calculate the square root of 2601 step-by-step using the Babylonian Method also known as Hero's Method. (iii) Take one factor from pair. For example, 51 is the square root of 2601 because 512 = 51•51 = 2601, -51 is square root of 2601 because (-51)2 = (-51)•(-51) = 2601. (ii) Make the pair of similar factors such that the both factors in each pair are equal. The only square root of zero is zero. A whole number with a square root that is also a whole number is called a perfect square. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. Square root through prime factorisation - law To find the square root of the given number through prime factorization method we follows the following steps: (i) First we divide the given number in to its prime factor. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. 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