Question

Simplify by rationalising the denominator....7√3-5√2/√48+√18

Answer 1

Given 7√3-5√2 / √48-√18

(7√3 - 5√2) / (4√3 - 3√2)    ( rationalizing the denominator )

(7√3 - 5√2) (4√3 + 3√2) / (4√3 - 3√2) (4√3 + 3√2)  

(84 - 30 + 21√6 - 20√6) / (48 -18)

(54 + √6) / 30.

I Hope I did it correct