Find the smallest number by which 6300 must be multiplied to make it a perfect square.

Correct option is D

Given:
The smallest number by which 6300 must be multiplied for making a perfect square.
Concept Used:
An integer that can be expressed as the square of another integer is called a perfect square.
It can be obtained by the factorisation method.
Solution:
The factor of 6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7.
There are two 2's in factor, two 3's, two 5's and one 7
So, If we multiply 6300 by 7.
We get: 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 = 22 × 32 × 52 × 72 which is perfect square
∴ The least number is 7
Hence, we have to multiply 6300 by 7 to make it a perfect square.