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Exponents and Radicals
Division of Radicals
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RADICALS & RATIONAL EXPONENTS
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Solving Radical Equations
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RADICAL EQUATION
Simplifying Radical Expressions
Radical Expressions
Solving Radical Equations
Solving Radical Equations
Exponents and Radicals
Exponents and Radicals
Roots;Rational Exponents;Radical Equations
Solving and graphing radical equations
Solving Radical Equations
Radicals and Rational Exponents
exponential_and_radical_properties
Roots, Radicals, and Root Functions
Multiplication of Radicals
Solving Radical Equations
Radical Expressions and Equations
SOLVING RADICAL EQUATIONS
Equations Containing Radicals and Complex Numbers
Square Roots and Radicals
Solving Radical Equations in One Variable Algebraically
Polynomials and Radicals
Roots,Radicals,and Fractional Exponents
Adding, Subtracting, and Multiplying Radical Expressions
Square Formula and Powers with Radicals
Simplifying Radicals
Exponents and Radicals Practice
Solving Radical Equations
Solving Radical Equations
Solving Radical Equations
Lecture-Radical Expressions
Radical Functions
   
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RADICAL EQUATION

Procedure

Solving Radical Equations
1. Isolate the radical (or one of the radicals).
2. Exponentiate to eliminate the isolated radical.
3. Repeat steps 1 and 2 if there are still radicals.
4. Solve the resulting equation.
5. Check your answers using the original equation.

Example 1 Solve for x.

Solution


Isolate
Exponentiate
Solve

Check

x = 33 is the solution of

Example 2 Solve

Solution


Isolate
Exponentiate
Solve

Therefore x = 1 is the only solution of

Example 3 Solve for x.

Solution

Isolate
Exponentiate
Solve

x = 20 is the solution to

Example 4 Solve for x.

Solution


Isolate
Exponentiate

Isolate
Exponentiate
Solve

x = 2 is the solution to

§3-5 PROBLEM SET

Solve each radical equation

§3-5 PROBLEM SOLUTIONS

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