How do you simplify the expression $12/sqrt6$ ?

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Answer 1 · 2017-01-06T08:30:19

I got: $2sqrt(6)$

We can try writing a single square root:
$sqrt((12^2)/6)$
and write:
$sqrt(144/6)=sqrt(24)=sqrt(6*4)=sqrt(6)sqrt(4)=2sqrt(6)$

You get the same result rationalizing by wrkting:
$12/sqrt(6)*color(red)(sqrt(6)/sqrt(6))=(12sqrt(6))/6=2sqrt(6)$

How do you simplify the expression 12/sqrt612/sqrt6?