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Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.

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Page 1: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Simplifying Radical Expressions

Objective: Add, subtract, multiply, divide, and simplify radical

expressions.

Page 2: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions
Page 3: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

636 25)5(125 223

Page 4: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

636 25)5(125 223

53ba 36nm3

2

rs

Page 5: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

636 25)5(125 223

53ba 36nm3

2

rs

26

2

3

11dcdc

26 2 xx

Page 6: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions
Page 7: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 1

Page 8: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 1

Page 9: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

Page 10: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

bccabcca ||88 2242 5 25 2555 22 fhfgfhgf

Page 11: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions
Page 12: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions
Page 13: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 2

Page 14: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 2

Page 15: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each expression. Assume that the value of the variable is positive.

31433 32 93 srsr 212

33

3

54

xy

yx

Page 16: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

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

Page 17: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

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

Page 18: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 4

Page 19: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 4

Page 20: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each sum or difference.

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

Page 21: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each sum or difference.

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

2113

)276()243(

Page 22: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each sum or difference.

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

2113

)276()243(

5510

)522()538(

Page 23: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 5

Page 24: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 5

Page 25: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each product.

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

Page 26: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each product.

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

538162

)5(3052051812

Page 27: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Simplify each product.

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

538162

)5(3052051812

62377

635)6(12620

Page 28: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 6

Page 29: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Example 6

Page 30: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Write each expression with a rational denominator.

53

2314

Page 31: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Write each expression with a rational denominator.

53

2314

553

55

53

Page 32: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Write each expression with a rational denominator.

53

2314

553

55

53

2921442

2323

2314

Page 33: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Try This

• Write each expression with a rational denominator.

53

2314

553

55

53

2267

)226(7

2921442

2323

2314

Page 34: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions
Page 35: Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions

Homework

• Pages 533-534• 15-60 multiples of 3• 73, 75, 85, 87