Question

Find the smallest number by which 1200 should be multiplied so that square root of the product is a rational no.

Answer 1

1200
Can also be written as
√100×12
√100×√12
10×√4×3
10×2√3
20√3
So, 3 is the smallest natural number that needs to be multiplied with 1200, so as to make the product a rational number.