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Exponents and Radicals
Division of Radicals
Exponents and Radicals
RADICALS & RATIONAL EXPONENTS
Radicals and Rational Exponents
Radical Equations
Solving Radical Equations
Roots and Radicals
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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Solving Radical Equations in One Variable Algebraically

• Solve square-root equations in one variable algebraically
• Solve radical equations in one variable algebraically
• Solve equations containing variable expressions with
rational exponents algebraically
Principle of Powers

If a=b ,then an = bn

If you begin with an equation that is true
and you raise both sides of the equation
to the same power ,the fault is a true
equation.

Steps to Solve a Radical Equation

1. Isolate the radical. If the equation has more
than one radical, choose one of the radicals
to isolate.

2. Raise each side of the equation to a power
equal to the index of the radical.

3. Solve the resulting equation. If the equation
still has a radical, repeats steps 1 and 2.

4. Check the potential solutions in the original
equation.

Solve Algebraically

Check!

No solution

Extraneous Solutions

Extraneous solutions can occur when we
solve radial equations, therefore
apparent solutions must be checked .

The solution must be in the domain of the
radial expression.

Solving Radial Equations

 

Solution

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Example  
Solve

Solution

The ± is needed because your
are taking the square root

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Example  
Solve

Solution

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