How do you simplify $5sqrt27-sqrt28+sqrt63-sqrt12$ ?

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Answer 1 · 2016-09-15T16:04:27

$5sqrt27-sqrt28+sqrt63-sqrt12=13sqrt3+sqrt7$

$5sqrt27-sqrt28+sqrt63-sqrt12=$

$5sqrt3xxsqrt9-sqrt4xxsqrt7+sqrt9xxsqrt7-sqrt4xxsqrt3=$

$15sqrt3-2sqrt7+3sqrt7-2sqrt3=$

$13sqrt3+sqrt7$

All I have done is to split up the square roots into products, and grouped the common square root factors; but please don't trust my arithmetic.

How do you simplify 5sqrt27-sqrt28+sqrt63-sqrt12 5sqrt27-sqrt28+sqrt63-sqrt12?