RADICAL EQUATION
Procedure
Solving Radical Equations
1. Isolate the radical (or one of the radicals).
2. Exponentiate to eliminate the isolated radical.
3. Repeat steps 1 and 2 if there are still radicals.
4. Solve the resulting equation.
5. Check your answers using the original equation. 
Example 1 Solve
for x.
Solution
Isolate
Exponentiate
Solve
Check
x = 33 is the solution of
Example 2 Solve
Solution
Isolate
Exponentiate
Solve
Therefore x = 1 is the only solution of
Example 3 Solve
for x.
Solution
Isolate
Exponentiate
Solve
x = 20 is the solution to
Example 4 Solve
for x.
Solution
Isolate
Exponentiate
Isolate
Exponentiate
Solve
x = 2 is the solution to
§35 PROBLEM SET
Solve each radical equation
§35 PROBLEM SOLUTIONS
