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Published byArnold Little Modified over 6 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 we change the denominator of a fraction? (Without changing the value of the fraction, of course.)

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The same way we change the denominator of any fraction! (Without changing the value of the fraction, of course.)

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We multiply the denominator by the same number. and the numerator

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By what number to a rational number? to change it can we multiply

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The answer is...... by itself!

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Remember, is the number we square to get n. we’d better get n. So when we square it,

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In our fraction, to get the radical out of the denominator, we can multiply numerator and denominator by.

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Because we are changing the denominator we call this process rationalizing. to a rational number,

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Rationalize the denominator: (Don’t forget to simplify)

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Rationalize the denominator: (Don’t forget to simplify)

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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. Next

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Simplify · =

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Combine like terms Try this on your own:

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