1. 7.5 Solving Radical Equations

2. Radical Equations
A radical equation is an equation that has a variable in a radicand or has a variable with a rational exponent. Are these Radical Equations?

3. We use inverse operations to solve equations.
For example, the inverse of squaring a function is finding the square root, so: Solve: x2 = 4

4. The inverse of cubing a function is finding the cube root
The inverse of cubing a function is finding the cube root. Solve: x3 = 64

5. The inverse of raising a function to the nth power is finding the nth root.

6. Solve the following. Check your solutions!
1. 2.

7. 3. 4.

8. 5.

9. 6.

10. You can solve equations of the form by raising each side of the equation to the power of , the reciprocal of . If n is even, then If n is odd, then

11. Examples:

15. Let’s solve the equation using our calculators:
Given: The equation is already equal to zero! y= Use the zero function to find the x-intercepts!