Question

Find the smallest number by which 180 must be multiplied so that the product is perfect square.

Answer 1

180=2×2× 3× 3×5
So here 5 is left unpaired

so if we multiply it by 5 ,then it will be a perfect square.

New number =2×2× 3× 3×5×5=900

square root of 900= √(900)= 30.