Question

find the smallest whole number by which 300 should be multiplied so as to get a perfect square number.​

Answer 1

Let us find the LCM of 300 first.
LCM of 300=2x2x3x5x5.
Therefore, 3 doesn't have a pair.
To make 300 a perfect sq., we must multiply the no. which doesn't have a pair, (i.e) 3.
Hence, 300x3=900 which is a perfect square.