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

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Answer 1 · 2018-01-28T11:11:52

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

$2/(3-sqrt(3x^2))= 2/(3-sqrt3 *x)$ . 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]

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