Exponents and Radicals
Division of Radicals
Exponents and Radicals
Radicals and Rational Exponents
Radical Equations
Solving Radical Equations
Roots and Radicals
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
Roots, Radicals, and Root Functions
Multiplication of Radicals
Solving Radical Equations
Radical Expressions and 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:


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?


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

Example 3: Solve:


Example 4: Solve: .


Equations Containing Two Radicals

Example 5: Solve: .


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

Example 6: Solve:


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.

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