Simplifying Radical Expressions

Name ________________________________________ Date __________________ Class __________________

Simplifying Radical Expressions

LESSON

11-2

Practice and Problem Solving: A/B

Simplify each expression. Assume all variables are positive. 3

1. −3 12r ________________________________________

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4

3.

(a )

2 2

27 3 27

5

2. 4 2 i 4 2

4.

2 3

3

1

a2b2 i b

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5. ( 27 i 64 )

________________________________________ 1

⎛ 1 ⎞5 6. ⎜ ⎟ ⎝ 243 ⎠

2 3

________________________________________

________________________________________

3

7.

( 25 x ) 2

8.

1

( 4x )

−

1 2

1

i (9x )2

5x 2 ________________________________________

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10. −5 3 −500x 5 y 3

9. 3 3 81x 4 y 2 ________________________________________

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Solve.

11. The frequency, f, in Hz, at which a simple pendulum rocks back and 1 g , where g is the strength of the gravitational forth is given by f = 2π l field at the location of the pendulum, and l is the length of the pendulum. a. Rewrite the formula so that it gives the length l of the pendulum in terms of g and f. Then simplify the formula using the fact that the gravitational field is approximately 32 ft/s2. _____________________________________________________________________________________

b. Use the equation found in part a to find the length of a pendulum, to the nearest foot, that has a frequency of 0.52 Hz. _____________________________________________________________________________________

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