Accelerated 60-65, HW 26 (9.2) Radical Expressions 2
Name:
Taken from §9.2 in Blitzer.
Remember that throughout this chapter, variable expressions in radicands represent nonnegative
real numbers.
In exercises 1 - 13, use the product rule for square roots to find each product.
√ √
2· 7
√ √
5) 5 · 5
1)
11)
q
1
a
5
·
q
13)
q
2x
9
·
q
1
b
5
9
2
In exercises 15 - 53 odd, simplify each expression. If the expression cannot be simlified, so state.
15)
√
50
33)
19)
√
200
35)
21)
√
75x
37)
p
25y 10
23)
√
9x
41)
p
72y 100
27)
p
y2
51)
29)
√
64x2
53)
√
√
√
8x2
x20
8x17
p
90y 19
In exercises 55 - 91, multiply or divide as necessary and, if possible, simplify.
55)
√ √
3 · 15
77)
61)
√
√
15x2 · 3x
85)
√
√48x
3x
65)
√
√
7x · 3y
89)
√
150x4
√
3x
91)
√
10
√400x
10x3
73)
q
x2
36
In exercises 93 - 115, simplify each expression.
93)
√
3
16
95)
√
3
54
97)
√
4
32
99)
√
√
3
4· 34
101)
√
√
3
9· 36
103)
√
√
4
4· 48
105)
q
3
27
8
2
q
72
y 20
107)
q
113)
p
243 x104 y 13
115)
√
3
24x5
3
3
8
In exercise 117, express the area of the rectangle as a square root in simplified form.
117) First COPY the figure from the book on page 566 below, then do the instructions given
above.
121) Use words to state the product rule for square roots,
your description.
√
√ √
a · b = ab. Give and example with
123) Explain how to simplify square roots with variables to even powers.
3