Question

rationalising factor of √9+√2​

Answer 1

√9+√2=3+√2

3+√2 is an irrational number

let us multiply 3+√2 by 3-√2

(3+√2)×(3-√2)

=(3)^2-(√2)^2 [using identity (a+b)(a-b)=a^2-b^2]

=9-2

=7

7 is a. rational number

Therefore the Rationalising factor of (√9+√2) is

(√9-√2)