The square root radical is simplified or in its simplest form only when the radicand has no square factors left.
Square root of 24336 by prime factorization.
Find the product of factors obtained in step iv.
This is one way there are loads.
For example 4 has two square roots.
Step 1 first resolve the given number into prime factors.
Free prime factorization calculator find prime factorization of numbers step by step this website uses cookies to ensure you get the best experience.
312 24 2 156 125 repeat the procedure with your new result.
The only square root of zero is zero.
Step 2 make pairs of similar factors.
I decompose the number inside the square root into prime factors.
Solution resolving 24336 into prime factors we get.
A whole number with a square root that is also a whole number is called a perfect square.
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Answer 1 of 1.
Step 3 the product of prime factors chosen one out of every pair gives the square root of the given number.
Take one factor from each pair.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Iii combine the like square root terms using mathematical operations.
4 now take the average between your initial guess and the new answer 162 24 150 312 24.
Thew following steps will be useful to find square root of a number by prime factorization.
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.
For example find the square root of 24336.