Question

what is the smallest number by which root 5 - root 2 is to be multiplied to make rational number ?also find the number so obtained.

Answer 1

( √5-√2)has to be multiplied with (√5+√2) to get a rational number
∵ (√5-√2)(√5+√2)
=(√5)²-(√2)²
=3
∵3 is a rational number we can conclude that we can multiply (√5+√2) with (√5-√2) to get a rational number.