2. Objective
Solve radical equations.

3. A radical equation contains a variable within a radical
A radical equation contains a variable within a radical. Recall that you can solve quadratic equations by taking the square root of both sides. Similarly, radical equations can be solved by raising both sides to a power.

4. Remember!
For a square root, the index of the radical is 2.

5. To find a power, multiply the exponents.
Remember!

6. Example 1A: Solving Equations Containing One Radical
Solve each equation.
Check
Subtract 5.
Simplify.
Square both sides. 
Simplify.
Solve for x.

7. Example 1B: Solving Equations Containing One Radical
Solve each equation.
Check 3 7
7 5x =
Divide by 7. 7
Simplify.
Cube both sides. 
Simplify.
Solve for x.

8. Check It Out! Example 1a
Solve the equation.
Check
Subtract 4.
Simplify. 
Square both sides.
Simplify.
Solve for x.

9. Check It Out! Example 1b
Solve the equation.
Check
Cube both sides.
Simplify.
Solve for x. 