How do you rationalize (3sqrt7) /( 5-sqrt7)3√75−√7?

1 Answer
Chaoyi Z.
May 8, 2015

You can rationalize (3sqrt(7))/(5-sqrt(7))3√75−√7 by multiplying both the numerator and the denominator with the the denominator's conjugate

In this case, the denominator's conjugate is sqrt(7)+5√7+5:
(3sqrt(7) * (sqrt(7)+5) )/(5-sqrt(7) * (sqrt(7)+5) )3√7⋅(√7+5)5−√7⋅(√7+5)

This means the rationalized answer is (15sqrt(7)+21)/(18)15√7+2118

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