7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part 1 7.41.

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Presentation transcript:

7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part

The Quotient Rule for Radicals 7.42

Simplify  By taking roots of numerators & denominators 7.43

Simplify  By combining and simplifying under the radical 7.44

A Radical Expression is Simplified When: 1.Each factor in the radicand is to a power less than the index of the radical 2.The radicand contains no fractions or negative numbers 3.No radicals appear in the denominator of a fraction 7.45

Rationalize the Denominator  By simplifying inside the radical  Think about what is needed on the bottom! 7.46

Rationalize the Denominator  By simplifying outside the radical 7.47

Rationalize the Numerator ?  Required only for Calculus, but learn the way: 7.48

What Next? More Radical Expressions!  Present Section 7.5 Present Section