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

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Answer 1 · 2015-07-07T03:33:34

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

$2/(1-sqrt3)$

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

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

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

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

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

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

$=-1(1+sqrt3)$

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

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