Algebra
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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