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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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Presentation on theme: "There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction."— Presentation transcript:

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

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

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

6 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.

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

8 Simplify · = =

9 Try this on your own:

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11 This powerpoint was kindly donated to www.worldofteaching.com www.worldofteaching.com http://www.worldofteaching.comhttp://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.


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