### LESSON 8-8 PROBLEM SOLVING SOLVING RADICAL EQUATIONS AND INEQUALITIES

Divide both sides by 4. What is a Radical Expression? Example 3b Solve the equation. Substitute 5 for w, 15 for A, and for l. Method 1 Divide both sides by 4. The only solution is 4. Subtract 6 from both sides.

Share buttons are a little bit lower. Add 2 to both sides. Solving Equations Involving Radicals: Example 2c Solve the equation. To make this website work, we log user data and share it with processors. Geometry Application A triangle has an area of 36 square feet, its base is 8 feet, and its height is feet. Subtract 7 from both sides.

Because of extraneous solutions, it is important to check your answers.

## Solving Radical Equations

Check your solution s. Now you have a new equation.

Subtract 7 from both sides. The answer is extraneous. Example 1a Solve the equation. There is no solution. The only restriction on to. Solve this new equation for x by taking the square root of both sides. Example 4a Continued Solve the equation.

Substitute 8 for b, 36 for A and for h. Part I Solve each equation. Solving Simple Radical Equations Solve the equation.

## Solving Radical Equations and Inequalities

Example 3b Continued Solve the equation. Example 3c Solve the equation.

Example 1b Solve the equation. Example 2b Solve the equation.