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Radical Equation Examples

Radical equation example 1

Question
Solve the equation
Solving radicals equation
Solution
Step 1.
Isolate the radical expression on left side of the equation.
Solving radicals equation step 1
Step 2.
Eliminate the radical by squaring both sides of the equation.
The solution of the radical equation
Step 3.
Check if x = 4 satisfy the equation
Check the solution of the radical equation
Therefore, x = 4 is the solution.

Radical equation example 2

Question
Solve the equation
Solve radical equation
Solution
Step 1.
Isolate the radical expression on left side of the equation.
Solve radical equation step 1
Step 2.
Eliminate the radical by raising both sides of the equation to the third power.
Raising both sides of the equation to the third power and solve it
Therefore, t = 9 is the solution.