How do you rationalize the denominator 3√5+23√5+5?

1 Answer
Eric Sandin
Jun 4, 2015

You must look for a binomial that multiplied by the denominator makes the root disappear.

Usually, when you want to rationalize a binomial denominator you will multiply it by its conjugate, in this case (3√5−5).
As you know, in order to preserve the fraction, you will multiply it by 1, which is the same as 3√5−53√5−5.

(3√5+2)(3√5+5)(3√5−5)(3√5−5)=45−15√5+6√5−1045−25=35−11√520

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