How do you rationalize the denominator and simplify $3/(2+sqrt12)$ ?

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Answer 1 · 2016-04-23T06:31:06

$3/(sqrt12+2)=3/(sqrt12+2)xx(sqrt12-2)/(sqrt12-2)$
$=(3sqrt(2^2xx3)-6)/(12-2)=(6sqrt3-6)/10=6/10xx(sqrt3-1)$
$=3/5xx(sqrt3-1)$

How do you rationalize the denominator and simplify 3/(2+sqrt12)3/(2+sqrt12)?