Challenge 61. Geometry A square has sides with length n. How much must be added to the
length of one side to transform the square into a golden rectangle?- Reasoning What are three fractions that you can multiply by to rationalize
the denominator? Will the resulting products be the same? Explain. - Geometry Find the length of each hypotenuse. Write your answer in simplified
radical form.
a. b. c.
s' V7 - D \fn - \ j i \/p - \Jq
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[7 + \/T ■sfU+sU \Ip + [q
^AT/ACT
St an d ar d i zed Test Pr ep
- What is the simplified form of 2 vT8 - V32 + 4 V8?
CA>8V3 C3D10V2 CO 18 V2 - A surveyor is calculating the areas of lots that are going to be sold.
The dimensions of one lot are shown at the right. What is the area of
the lot shown?
CD 8.82 X 106 m2 C D 4.41 X 105 m2
CO 8.82 X 105 m2 CD 4.41 X 106 m2 - What are the approximate solutions of the equation §x2 + §x — 5 = 0?
Use a graphing calculator.
CD -5,0 CO-1-57,1.27 CO -1.36,0.71
CO io Vis
CO -0.96, 0.84
Short. R e s p o n s e
67. What are the domain and range of the function y= |x|? Show how you find your
answer.
Mixed Review
Simplify each radical expression.- Vl08 69. 3VT50 70.
Vl8c2
Rewrite each expression using each base only once. - 85 • 811 73. 224 • 2"13 74. 511 • 516
Get Read y! To p r e p a r e f o r Lesso n 1 0 - 4 , d o Ex e r ci se s 7 6 - 8 1.
Solve by factoring.- x2 + 2x + 1 = 0 77. x2 + x - 12 = 0
- 3x2 + 7x — 6 = 0 80. 2x2 + 3x - 2 = 0
78. x2
See Lesson 10-2.- V5 • V45
See Lesson 7-2.- 37 • 3”4
See Lesson 9-4.
2x - 15 = 0- x2+ 14x + 49 = 0
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Po w erAlg eb ra.com J Lesson 10-3 Operations With Radical Expressions 631