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

Solving Equations Containing To solve an equation with a radical expression, you need to isolate the variable on one side of the equation. About project SlidePlayer Terms of Service. Method 1 Divide both sides by 2. Subtract 11 from both sides. To solve equations involving square roots and equations involving perfect squares.

To solve these equations, you may have to isolate the square root before squaring both sides. Recall that you use inverse operations to solve equations. My presentations Profile Feedback Log out. For nonnegative numbers, squaring and taking the square root are inverse operations. Add 2 to both sides. Share buttons are a little bit lower. Raise each side to the same power to eliminate the root.

The length of the rectangle is cm. Example 6 Continued A rectangle has an area of 15 cm2. Method 1 Multiply both sides by 2.

## Extraneous solutions of radical equations

Example 3a Continued Solve the equation. Check your answers for extraneous solutions. Multiply both sides by 4. Example 3b Solve the equation. A triangle has an area of 48 square feet, its base is 6 feet and its height is feet.

## Solving Radical Equations and Inequalities

We think you have liked this presentation. Part I Solve each equation. Example 2a Solve the equation.

Example 3b Continued Solve the equation. Check Substitute 36 for x in the original equation. Example 4a Continued Solve the equation. Registration Forgot your password? Example 5b Solve the equation. How do we solve equations with fractional or negative exponents?

Example 3c Solve the equation. Raise each side to the reciprocal power.

Its width is 5 cm, and its length is cm. The height of the triangle is feet. Example 2c Solve the equation.

If you wish to download it, please recommend it to your friends in any social system. Check Substitute 6 for x in the equation.

# Extraneous solutions of radical equations (article) | Khan Academy

Feedback Privacy Policy Feedback. Add 1 to both sides. Divide both sides by 2.

What is the height of the triangle? Check Substitute 5 for x in the equation. For a square root, the index of the radical is 2. When an equation contains a variable within a square root, radiacl both sides of the equation to solve. We think you have liked this presentation. What is a Radical Expression?

Add 4 to both sides. Method 1 Divide both sides by 2.