How do you rationalize the denominator and simplify $(3sqrt2)/sqrt6$ ?

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Answer 1 · 2016-03-20T17:00:51

$= sqrt12 / 2$

$(3sqrt2) / sqrt6$

$= (3sqrt2 * color(blue)(sqrt6)) / (sqrt6 * color(blue)(sqrt6)$

$= (3 * sqrt2 * color(blue)(sqrt6)) / 6$

$= (3 sqrt12 ) / 6$

$= (cancel3 sqrt12 ) / cancel6$

$= sqrt12 / 2$

How do you rationalize the denominator and simplify (3sqrt2)/sqrt6(3sqrt2)/sqrt6?