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

1 Answer
Jan 28, 2018

Answer:

# (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]