Square Root Of 24336 By Prime Factorization

The only square root of zero is zero.

Square root of 24336 by prime factorization.

Step 1 first resolve the given number into prime factors. Answer 1 of 1. 4 now take the average between your initial guess and the new answer 162 24 150 312 24. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. By using this website you agree to our cookie policy. The product obtained in step v is the required square root. I decompose the number inside the square root into prime factors.

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. Step 2 make pairs of similar factors. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. For example find the square root of 24336.

Solution resolving 24336 into prime factors we get. Iii combine the like square root terms using mathematical operations. Take one factor from each pair. A whole number with a square root that is also a whole number is called a perfect square.

Thew following steps will be useful to find square root of a number by prime factorization. Find the product of factors obtained in step iv. Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience. For example 4 has two square roots.

This is one way there are loads.