Question

how to find root by factorization

Answer 1

Answer:

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.

(ii) Make the pair of similar factors such that the both factors in each pair are equal.

(iii) Take one factor from pair.

(iv) Find the product of factor that obtained by taking one factor from each pair.

That product is the square root of the given number.

Example:

To find the square root of

256

.

Solution:

First we make the prime factor of

256

256=