11.1 Simplifying Radical Expressions
3
2
1Definitions
Simplifying Radicals
Practice Problems
3
Perfect Squares
244
399
86464
74949
63636
52525
41616
98181
10100100
11121121
13169169
12144144
4
How a Square Root Works
4222
5
Simplifying Square Roots
Steps Factor the radicand into the product of the
largest factor that is a perfect square Separate the square root into 2 separate
square roots Solve the perfect square Check to make sure you can’t factor the
radicand by another perfect square
6
Simplifying a Square Root Example
12
34
34
32
90
109
109
103
7
Multiplying Square Roots
Steps Multiply the real numbers & leave outside
the square root Multiply the radicands to each other &
leave inside the square root Simplify the square root if possible
8
Multiplying a Square Root Example
153
45
59
59
53
153
9
Multiplying a Square Root Example
6234
6324
188
298
298
238
224
10
Simplifying a Square Root with Variables
Steps Rewrite the variable as a square using the
exponent rules Squares (2nd power) will cancel with square
roots
11
Square Root Variable Example
12x
26 )(x
6x
3y
yy 2
yy 2
yy
12
Putting It All Together
35440 zyx
35440 zyx
zzyyx 242 2
)(104
zzyyx 2222 )()(1042
13
Putting It All Together (Cont.)
zzyyx 2222 )()(1042
zzyyx 22102
yzzyx 102 22
14
Practice Problems
Page 589-590Problems 4-8, 14-25
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