How do you simplify #2/(1-sqrt(3))#?

1 Answer
Jul 7, 2015

Answer:

#=color(green)(-1-sqrt3#

Explanation:

#2/(1-sqrt3)#

Multiplying by the conjugate #color(blue)((1+sqrt3))#

#(2 xx (color(blue)(1+sqrt3)))/((1-sqrt3) . color(blue)(1+sqrt3))#

#=(2+2sqrt3)/((1)^2 - (sqrt3)^2)#

#=(2+2sqrt3)/((1-3))#

#=(2+2sqrt3)/(-2)#

#=((2)(1+sqrt3))/(-2)#

#=-1(1+sqrt3)#

#=color(green)(-1-sqrt3#