1. Solving Radical Equations

2. Steps to Solve Isolate the radical on one side by moving other terms;
if there are two radicals, isolate one radical.
Raise both sides of the equation to the power that cancels the radical.
Solve the remaining equation.

3. Important!!
Remember - what you do to one side of the equation, you MUST do to the other side (or else it will get jealous).
Remember - you MUST check your answers!!

4. Radical Equations
Solve:
Move the 8:
Square both sides:

5. Radical Equations
Check your solution: √

6. Radical Equations
Solve:

7. Radical Equations
Move the 6:
Cube both sides:
Solve:

8. Radical Equations
Check: √

9. Radical Equations This is also a radical equation:
You may want to rewrite the equation with a radical instead of a rational power:

10. Radical Equations
Solve:

11. Radical Equations And Check:
This does not check - there is no solution!

12. Radical Equations This equation has two radicals: Isolate ONE radical:
Square both sides [you NEED the ( ) ]:

13. Radical Equations You must FOIL the binomial:
There is still a radical to be isolated:

14. Radical Equations
Solve the remaining radical equation:
And check: √