How do you simplify $(5[sqrt3]) / [sqrt12]$ ?

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Answer 1 · 2016-06-20T17:06:16

$5/2$

12 is not a perfect square and therefore does not have an exact square root. However, it has a factor which is a square.

$(5sqrt3)/sqrt12 = (5sqrt3)/sqrt(4xx3)$

= $(5sqrt3)/(2sqrt3)$

= $5/2$

How do you simplify (5[sqrt3]) / [sqrt12](5[sqrt3]) / [sqrt12]?