Study Guide and Intervention (continued) - MathnMind

11-1
Quotient Property of Square Roots A fraction containing radicals is in simplest
form if no radicals are left in the denominator. The Quotient Property of Square Roots
and rationalizing the denominator can be used to simplify radical expressions that
involve division. When you rationalize the denominator, you multiply the numerator and
denominator by a radical expression that gives a rational number in the denominator.
a a
Quotient Property of Square Roots For any numbers a and b, where a 0 and b 0, . b b
Example
56 4 14
45
56
Simplify .
45
2 14
Simplify the numerator and denominator.
3 5
214 5
5 Multiply by to rationalize the denominator.
35 5
5
270
Product Property of Square Roots
15
Exercises
Simplify.
9
8
1. 2.
18
24
100
75
3. 4.
121
3
82
2 6
5. 6.
28
3 5
5 2
7. 8.
4
NAME ______________________________________________ DATE ____________ PERIOD _____
Study Guide and Intervention (continued)
Simplifying Radical Expressions
9 5
2
x
9. 10. 6
3a
y4 2
10b6 75b
11. 12. 3
c6 100a
a2 4
144b8 4
8
13. 14.
3 5
2 3
5
8
15. 16.
2 5
27 410
© Glencoe/McGraw-Hill 644 Glencoe Algebra 1
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