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Rationalizing radicals in the denominator

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In some cases, when a radical appears in the denominator of a fraction, an SAT question will require you to rationalize the denominator — that is, find an equivalent form of that fraction with an integer in the denominator.

To rationalize the denominator of a fraction, multiply both the numerator and denominator by the radical that’s in the denominator. For example, here’s how you rationalize :


In some cases when rationalizing, you may need to simplify the result. For example, here’s how you rationalize :


This result can be simplified by dividing both the numerator and the denominator by 2:


SAT Math For Dummies with Online Practice

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