How do you simplify (8sqrt 2)/ (sqrt 3)?

1 Answer
mason m
Feb 10, 2016

(8sqrt6)/3

Explanation:

We want to "rationalize" the denominator--that is, get all square roots out of the denominator. We can do this by multiplying the fraction by sqrt3"/"sqrt3.

=(8sqrt2)/sqrt3*sqrt3/sqrt3=(8sqrt2sqrt3)/3

To simplify the numerator, recall that when a,b are positive, sqrtasqrtb=sqrt(ab). Hence

=(8sqrt(2xx3))/3=(8sqrt6)/3

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