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# Rationalizing Denominators

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Rationalize the denominator and simplify

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Rationalize the denominator and simplify

Multiply numerator and denominator by √10

√6*√10 = √60 = √4*15 = 2√15 = √15
√10*√10 √100 √10*10 10 5

For any fractions with a square root in the denominator, multiply numerator and denominator by the denominator and simplify.

If the fraction has more than one square root in the denominator (example: √3+√4) then multiply to get rid of both:

(√3+√4)*(√3-√4)=3-4

So if the denominator has √a+√b multiply by √a-√b; if the denominator has √a-√b multiply by √a+√b (if you haven't gotten to this kind of problem yet then just ignore this last part).

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