Simplifying Radical Expressions
Objective: Add, subtract, multiply, divide, and simplify radical
expressions.
636 25)5(125 223
636 25)5(125 223
53ba 36nm3
2
rs
636 25)5(125 223
53ba 36nm3
2
rs
26
2
3
11dcdc
26 2 xx
Example 1
Example 1
Try This
Try This
bccabcca ||88 2242 5 25 2555 22 fhfgfhgf
Example 2
Example 2
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• Simplify each expression. Assume that the value of the variable is positive.
31433 32 93 srsr 212
33
3
54
xy
yx
Try This
• Simplify each expression. Assume that the value of the variable is positive.
31433 32 93 srsr 212
33
3
54
xy
yx
3 223 263
3 433 32
327
93
srrssrsr
srsr
Try This
• Simplify each expression. Assume that the value of the variable is positive.
31433 32 93 srsr 212
33
3
54
xy
yx
3 223 263
3 433 32
327
93
srrssrsr
srsr
yxyx
xyyx 2318
354 2
2
33
Example 4
Example 4
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• Simplify each sum or difference.
)986()323( )202()458(
Try This
• Simplify each sum or difference.
)986()323( )202()458(
2113
)276()243(
Try This
• Simplify each sum or difference.
)986()323( )202()458(
2113
)276()243(
5510
)522()538(
Example 5
Example 5
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• Simplify each product.
)564)(553( )635)(164(
Try This
• Simplify each product.
)564)(553( )635)(164(
538162
)5(3052051812
Try This
• Simplify each product.
)564)(553( )635)(164(
538162
)5(3052051812
62377
635)6(12620
Example 6
Example 6
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• Write each expression with a rational denominator.
53
2314
Try This
• Write each expression with a rational denominator.
53
2314
553
55
53
Try This
• Write each expression with a rational denominator.
53
2314
553
55
53
2921442
2323
2314
Try This
• Write each expression with a rational denominator.
53
2314
553
55
53
2267
)226(7
2921442
2323
2314
Homework
• Pages 533-534• 15-60 multiples of 3• 73, 75, 85, 87