Question

Find the square root of a number 529 by prime factorization method.

Answer 1

Hint: In order to solve this problem you have to factorize the number 529 by prime numbers and then make pairs of two to get the answer to this problem.

Complete step-by-step answer:
We need to find the square root of number 529 by prime factorization method.

So, the number 529 can be written as:
529 = 23 x 23
So square root of 529 can be written as $\sqrt {529} = \sqrt {23 \times 23} = \sqrt {{{23}^2}} = 23$
Hence the answer to this problem is 23.

Note: In this problem you have to factorize 529 in such a way that every factor in it is a prime number in pairs of two then you have to take the square root of it to get the answer to this problem. Proceeding like this you will get the right answer.