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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Radical Equations

The Power Rule

If x, y, and n are real numbers and , then .

*Be Careful!!! Consider x=3.

Equations Containing One Radical

Example 1: Solve:

Check:

Example 2: The distance d (in feet) that an object will fall in t seconds is given by the formula .
To find the height of a bridge a man drops a stone from the bridge into water below. If it took 3 seconds
to hit the water, how far above the river is the bridge?

Check:

*Note: Always isolate the radical on one side before raising both sides of the equation to a power.

Example 3: Solve:

Check:

Example 4: Solve: .

Check:

Equations Containing Two Radicals

Example 5: Solve: .

Check:

When more than one radical appears in an equation, it is often necessary to apply the power rule more
than once.

Example 6: Solve:

Check:

Solving Formulas Containing Radicals

Recall: To solve a formula for a variable means to isolate that variable on one side of the equation.

Example 7: Some office equipment that is now worth V dollars originally cost C dollars 3 years ago. The
rate r at which it has depreciated is given by . Solve the formula for C.