Square Root Of 24336 By Prime Factorization

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Square root of 24336 by prime factorization.

Solution resolving 24336 into prime factors we get. Iii combine the like square root terms using mathematical operations. The only square root of zero is zero. 312 24 2 156 125 repeat the procedure with your new result.

The product obtained in step v is the required square root. Square root by prime factorization method example 1 find the square root. I decompose the number inside the square root into prime factors. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.

Take one factor from each pair. Step 1 first resolve the given number into prime factors. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. This is one way there are loads.

Answer 1 of 1. For example find the square root of 24336. Find the product of factors obtained in step iv. 4 now take the average between your initial guess and the new answer 162 24 150 312 24.

For example 4 has two square roots. Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience. Step 3 the product of prime factors chosen one out of every pair gives the square root of the given number. The square root radical is simplified or in its simplest form only when the radicand has no square factors left.

1 make an initial guess i ll go with 150 here if you square that you get 22500 which is too small 2 divide your square by the number 24336 150 162 23.