Question

Using factorisation method find the square root of 9075

Answer 1

Answer:

Given 9075,

A perfect square can always be expressed as a product of pairs of equal factors.

Now resolve 9075 into prime factors, we get

9075=25×363

Again resolve 363 into prime factors we get,

9075=5×5×11×11×3=5×11×5×11×3=55×55×3

In prime factorization of 9075, 3 is present only once.

∴9075 is not a perfect square.