# Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents,

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Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents, Extraneous Solutions

I. Solving Radical Equations Example 1:

I. Solving Radical Equations Example 2:

I. Solving Radical Equations Example 3:

I. Solving Radical Equations Example 4: This can never happen, therefore the answer is NO SOLUTION and you found an extraneous solution.

II. Solving Rational Exponent Equations Example 5:

II. Solving Rational Exponent Equations Example 6:

Page 456 #3-21 odds, 23-31 (15 problems)

Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. 3.Be able to solve an equation that may contain extraneous solutions. 4.Be able to solve an equation that contains multiple radicals. Critical Vocabulary: Rational Exponents, Extraneous Solutions Warm Up:

WARM UP #1 Get the variable and its exponent alone Raise each side to the 2/3 power Simplify each side

Isolate the root Get rid of the root Solve for “x” WARM UP #2

III. Solving Equations with Extraneous Solutions Isolate the root Get rid of the root Solve for “x” Check for extraneous solutions

Get rid of the root Solve for “x” Check for extraneous solutions

IV. Solving Equations with Multiple Radicals Move the root Square Both Sides Isolate the Root Square Both Sides Solve for “x” Check for Extraneous Solutions

Page 457 #34-43, 45-52

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