Rationalizing Numerators and Denominators of Radical Expressions Rationalize denominators. 2.Rationalize denominators that have a sum or difference with a square root term. 3.Rationalize numerators.

Rationalize the denominator Irrational number Rational number

Rationalize: Factors or terms?

Rationalize:

Rationalize:

Rationalize:

Rationalize:

Slide Copyright © 2011 Pearson Education, Inc. Rationalize the denominator. a) b) c) d)

Slide Copyright © 2011 Pearson Education, Inc. Rationalize the denominator. a) b) c) d)

Rationalize: Can I still multiply by ? No! Can I square the denominator? No! Try conjugates. To rationalize BINOMIAL denominators, use the conjugate! Binomial Denominator

Rationalize: Conjugates

Rationalize: Factors or terms? 4∙6 4∙ Binomial Denominator All three!!!

Rationalize: Binomial Denominator

Rationalize the numerator:

Slide Copyright © 2011 Pearson Education, Inc. Rationalize the denominator. a) b) c) d)

Slide Copyright © 2011 Pearson Education, Inc. Rationalize the denominator. a) b) c) d)