1. Radical Equations and Problem Solving
8.8
Radical Equations and Problem Solving

2. Example
Solve.

3. Solving a Radical Equation
Step 1: Isolate one radical on one side of the equation.
Step 2: Raise each side of the equation to a power equal to the index of the radical and simplify.
Step 3: If equation still contains a radical, repeat steps 1 and 2. If not, solve equation.
Step 4: Check proposed solutions in the original equation.

4. Example
Solve:

5. Example
Solve:

6. Example
Solve.

7. The Pythagorean Theorem
If a and b are lengths of the legs of a right triangle and c is the length of the hypotenuse, then
a2 + b2 = c2.

8. Example
Find the length of the hypotenuse of a right triangle when the length of the two legs are 2 inches and 7 inches.