11.3 Solving Radical Equations

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2

1Definitions & Rules

Simplifying Radicals

Practice Problems

2

Definitions

Radical Equations An equation containing the variable(s) in

the radical

45.2

h

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Solving for Variables within Radicals

Steps: Get the square root by itself on one side of the

equal sign Square both sides Solve for the variable CHECK YOUR ANSWER!

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Radical Equation with a Variable

45.2

h

)4(4

)5.2)(4(h

h10

2210 h

h100

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Radical Equation with an Expression

1071 x7

31x

2231 x

91x1

8x

7

1

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Radical Equation with a Variable on Each Side

42 xx

2242 xx

4422

xxx

1682 2 xxxx

1692 2 xx2

1490 2 xx

)2)(7(0 xx

2,7 xxx

1692 2 xx

2

0)7( x 0)2( x

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Radical Equation with a Variable on Each Side (Cont.)

CHECK THE ANSWER!

42 xx 42 xx

7x 2x

4727

39

33

4222

24

22

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Practice Problems

Page 601Problems 18-46