College Algebra, 4th Edition

Section P.6 Rational Exponents and Radicals

Before Starting This Section, Review

1. 1 Absolute value (Section P.1 , page 9)

2. 2 Integer exponents (Section P.2 , page 20)

3. 3 Special-product formulas (Section P.3 , page 37)

4. 4 Properties of fractions (Section P.1 , page 13)

Objectives

1. 1 Define and evaluate square roots.

2. 2 Simplify square roots.

3. 3 Define and evaluate nth roots.

4. 4 Combine like radicals.

5. 5 Rationalize denominators or numerators.

6. 6 Define and evaluate rational exponents.

Friction and Tap-Water Flow

Suppose your water company had a large reservoir or water tower 80 meters or more above the level of your cold-water faucet. If there was ...