How do you rationalize the denominator and simplify your answer $3/(2 + sqrt(12))$ ?

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Answer 1 · 2015-04-11T20:42:29

To rationalize the denominator multiply both the numerator and the denominator by the conjugate of the denominator

$3/(2+sqrt(12))$

$=3/(2+sqrt(12)) xx (2-sqrt(12))/(2-sqrt(12))$

$= (6-3sqrt(12))/(4-12)$

$=(6-6sqrt(3))/(-8)$

$= 3/4 (sqrt(3)-1)$

How do you rationalize the denominator and simplify your answer 3/(2 + sqrt(12))3/(2 + sqrt(12))?