How do you simplify $(2sqrt3)/(1 -sqrt3)$ ?

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Answer 1 · 2018-07-26T02:34:30

$-6sqrt3$

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

Multiply numerator and denominator by $color(blue)(1+sqrt3)$ :
$(2sqrt3)/(1-sqrt3) color(blue)(*(1+sqrt3)/(1+sqrt3))$

Combine and simplify:
$=(2sqrt3 * 2sqrt3^2)/(1+sqrt3-sqrt3-sqrt3^2)$

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

$=(2sqrt3*6)/-2$

$=(12sqrt3)/-2$

$=-6sqrt3$

Hope this helps!

How do you simplify (2sqrt3)/(1 -sqrt3)(2sqrt3)/(1 -sqrt3)?