8.5 Multiply.
82. 83.
84. 85.
86. 87.
88.Use a calculator to show that the answer to Exercise 85, is not equal to89.Concept Check A friend tried to rationalize the denominator of , by multiplyingthe numerator and denominator by .WHAT WENT WRONG?Rationalize each denominator. Assume that all variables represent positive real numbers.
90. 91. 92. 93.
94. 95. 96. 97.
Write in lowest terms.
98. 99. 100.
8.6 Solve each equation.
101. 102.
103. 104.
105. 106.
107. 108.
109. 110.
111. 112.
113. 114.
115. 116.
117.Carpenters stabilize wall frames with a diagonal brace, as
shown in the figure. The length of the brace is given by
(a)Solve this formula for H.
(b) If the bottom of the brace is attached 9 ft from the corner
and the brace is 12 ft long, how far up the corner post
should it be nailed? Give your answer to the nearest tenth
of a foot.8.7 Write each expression as a product of a real number and i.
118. 119.
120.Concept Check If ais a positive real number, is - 2 - aa real number?
2 - 25 2 - 200
L= 2 H^2 +W^2.
24 x+ 7 = 242 x 24 x+ 8 = 243 x24 x- 1 + 2 = 0 242 x+ 3 + 1 = 0231 - 2 x- 23 - x- 13 = 0 2311 - 2 x- 23 - 1 - 5 x= 0232 x^2 + 3 x- 7 = 232 x^2 + 4 x+ 6 233 x^2 - 4 x+ 6 = 233 x^2 - 2 x+ 82 x+ 2 - 2 x- 3 = 1 235 x- 1 = 233 x- 232 x= 210 x- 9 2 x^2 + 3 x+ 7 =x+ 223 x+ 1 - 2 =- 3 27 x+ 1 =x+ 128 x+ 9 = 5 22 x- 3 - 3 = 0- 18 + 227
6
4 - 828
12
2 - 225
8
- 5
26 - 3
1
B 22 + 27
3
108 m^3
n^5-
B
3
9
25
B
11
8
327 p
2 y- 623
22
26
25
236
5
236
13226.
15 - 2226 ,
A 232 + 3 BA 234 - 3232 + 9 B A 234 y- 1 BA 234 y+ 3 BA 213 - 22 B
2
A 322 + 1 BA 222 - 3 BA 23 + 1 BA 23 - 2 B A 27 + 25 BA 27 - 25 B
CHAPTER 8 Review Exercises 489
L HW