Beginning Algebra, 11th Edition

Simplify each radical. See Example 8.

Simplify each radical. See Example 9.

The volume of a cube is found with the formula ,where s is the length of an edge of the

cube. Use this information in Exercises 121 and 122.

121.A container in the shape of a cube has a volume of 216. What is

the length of each side of the container?

122.A cube-shaped box must be constructed to contain 128. What

should the dimensions (height, width, and length) of the box be?

The volume of a sphere is found with the formula ,where r is the length of the radius

of the sphere. Use this information in Exercises 123 and 124.

123.A ball in the shape of a sphere has a volume of. What is the

radius of the ball?

124.Suppose that the volume of the ball described in Exercise 123is multi-

plied by 8. How is the radius affected?

Work Exercises 125 and 126 without using a calculator.

288 p in.^3

V=^43 pr^3

ft^3

cm^3

V=s^3

B

3

n^9

B 27

3

m^12

8

2316 t^52324 x^4

2364 z^623125 a^1523343 a^9 b^323216 m^3 n^6

23 p^323 w^323 x^923 y^18

B

3 -

1

B 64

3 -

216

B 125

3

64

B 125

3

8

27

23128 23192 2480 24243

2340 2348 2354 23135

512 CHAPTER 8 Roots and Radicals

r

s

s

s

2 √26 in.

√83 in.

√97 ft

2 √17 ft

125.Choose the best estimate for the area

(in square inches) of this rectangle.

A. 45 B. 72 C. 80 D. 90

126.Choose the best estimate for the area

(in square feet) of this triangle.

A. 20 B. 40 C. 60 D. 80

Combine like terms. See Section 1.8.

127. 
     
     
     
     128. 
          
     
     
     
     


128. 2 xy+ 3 x^2 y- 9 xy+ 8 x^2 y 130.x+ 3 y+ 12 z

4 x+ 7 - 9 x+ 12 9 x^2 + 3 x^2 - 2 x+ 4 x- 8 + 1

PREVIEW EXERCISES

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