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1.1 Radical Expressions Rationalizing Denominators

Calculus and Vectors How to get an A+ Radical Expressions : Rationalizing Denominators - Handout 2010 Iulia & Teodoru Gugoiu - Page 1 of 2 Radical Expressions : Rationalizing Denominators - Handout A Radicals mnnmnmnnaaaaaaaa)()()(==== Note: If n is even, then 0 a for na. Ex 1. Simplify: a) 33 b) 3)5( c) 53)7( B Rationalizing Denominators (I) bccacccbacba== Ex 2. Rationalize: 532 C Conjugate Radicals dcbadcbacbacbababababa + + + + Ex 3. For each expression , find the conjugate Radical . a) +32 b) 32 c) +523 d) +7352 D Difference of squares identity 22))((bababa = + Ex 4. Use the difference of squares identity to simplify: a) ))((baba + b) ))((baba + c) ))((cbacba + E Rationalizing Denominators (II) Hint: Multiply and divide by the conjugate Radical of the denominator.

Calculus and Vectors – How to get an A+ 1.1 Radical Expressions: Rationalizing Denominators - Handout © 2010 Iulia & Teodoru Gugoiu - Page 1 of 2

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