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Published bySteven Gallagher Modified over 8 years ago

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There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction.

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So how do rationalize a denominator with a binomial containing radicals? (Without changing the value of the fraction, of course.)

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Let’s see what happens if we multiply by That didn’t work!

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When there is a binomial with a radical in the denominator of a fraction, you find the conjugate and multiply. This gives a rational denominator.

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Simplify: Multiply by the conjugate. FOIL numerator and denominator. = = Simplify numerator and denominator.

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Simplify · = =

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Try this on your own:

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