simplifying radical expressions objective: add, subtract, multiply, divide, and simplify radical...

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

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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

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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

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(

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• Simplify each sum or difference.

)986()323( )202()458(

2113

)276()243(

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• 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(

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• Simplify each product.

)564)(553( )635)(164(

538162

)5(3052051812

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• 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

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• 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