Question

How do you simplify `2/(3-sqrt(3x^2))`?

Answer 1

`(2(3+sqrt3 *x)) /(3(3- x^2))`

Explanation:

`2/(3-sqrt(3x^2))= 2/(3-sqrt3 *x)` . Multiplying both numerator

and denominator by `(3+sqrt3 *x)` we get ,

`(2(3+sqrt3 *x)) /((3-sqrt3 *x)(3+sqrt3 *x))`

`=(2(3+sqrt3 *x)) /(3^2- (sqrt3 *x)^2)`

`=(2(3+sqrt3 *x)) /(9- 3 *x^2)`

`=(2(3+sqrt3 *x)) /(3(3- x^2))` [Ans]