Use caution when solving radical equations because the following steps may lead to extraneous solutions, solutions that do not solve the original equation.

**Solve:**

**Step 1:**Isolate the radical.

**Step 2:**Square both sides of the equation.

**Step 3:**Solve the resulting equation and then check your answers.

Whenever you raise both sides of an equation to an even power, you introduce the possibility of extraneous solutions so the check is essential here.

**Solve.**

*n*> 1 and positive real numbers

*x*. After eliminating the radical, we will most likely be left with either a linear or a quadratic equation to solve.

**Solve:**

**Solve:**

**Solve:**

**Video Examples on YouTube:**