Section 9.1

Find each root

12.

Find each root. All variables represent
Nonnegative real numbers.

26.

Use the product rule for radicals to simplify each expression.
All variables represent nonnegative real numbers.

36.

Simplify each radical. All variables represent
positive real numbers.

84.

Section 9.2:

Evaluate each expression

22. (-16) 1/4

38. 25 -3/2

Simplify each expression. Write your answers with positive
exponents. Assume that all variables represent positive real
numbers.

104. (-27×9)1/3

Section 9.3

All variables in the following exercises represent positive
numbers.
Simplify the sums and differences. Give exact answers.

6. – 3
Simplify each expression

88. x

94. (3-2(3+2)

Section 9.4:

Write each radical expression in simplified radical form.

12.

Divide and simplify.

30.

Simplify.

76.

Section 9.5:

The Even-Root Property
Find all real solutions to each equation

16. a2 – 40 = 0

Equations Involving Radicals
Solve each equation and check for extraneous solutions.

30. -5=1

32. 3=6

Section 10.1:

Find all real or imaginary solutions to each equation.
Use the method of your choice.

80. w2 = – 225

86. 3v2 + 4v – 1 =0

96. =x+3

Section 10.2:
Using the Formula
Solve each equation by using the quadratic formula

10. x2 +4x+3=0

14. -8q2 -2q+1=0

30. -3×2-2x-5=0
Find b2 – 4ac and the number of real solutions to each
equation.

48. -3×2+7x=0

Section 10.3:
Find all real solutions to each equation
64. x2+x+-2=0
Find all real and imaginary solutions to each equation.
70. b4 + 13b+36=0
-5=1

32. 3=6

Section 10.1:

Find all real or imaginary solutions to each equation.
Use the method of your choice.

80. w2 = – 225

86. 3v2 + 4v – 1 =0

96. =x+3

Section 10.2:
Using the Formula
Solve each equation by using the quadratic formula

10. x2 +4x+3=0

14. -8q2 -2q+1=0

30. …