How do you simplify $sqrt12+sqrt27-sqrt3$ ?

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Answer 1 · 2017-04-14T12:04:08

$4sqrt(3)$

$sqrt(12)+sqrt(27)-sqrt(3)$

By $12=2cdot2cdot3$ and $27=3cdot3cdot3$ ,

$=sqrt(2cdot2cdot3)+sqrt(3cdot3cdot3)-sqrt(3)$

By grouping pairs of the same factors,

$=sqrt(2cdot2)sqrt(3)+sqrt(3cdot3)sqrt(3)-sqrt(3)$

By simplifying the square-roots of squares,

$=2sqrt(3)+3sqrt(3)-sqrt(3)$

By factoring out $sqrt(3)$ ,

$=(2+3-1)sqrt(3)=4sqrt(3)$

I hope that this was clear.

How do you simplify sqrt12+sqrt27-sqrt3sqrt12+sqrt27-sqrt3?