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

1 Answer
anor277
Sep 15, 2016

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

Explanation:

#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.

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