How do you simplify (7sqrt3)/(3-sqrt2)?

1 Answer
Gió
Jul 28, 2016

I found: 3sqrt(3)+sqrt(6)

Explanation:

We can try Rationalizing by multiplying and dividing by: 3+sqrt(2) to get:
(7sqrt(3))/(3-sqrt(2))*(3+sqrt(2))/(3+sqrt(2))=
=(21sqrt(3)+7sqrt(3)sqrt(2))/(9+cancel(3sqrt(2))cancel(-3sqrt(2))-2)=
=(21sqrt(3)+7sqrt(6))/7=
=21/7sqrt(3)+7/7sqrt(6)=3sqrt(3)+sqrt(6)

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