# Solving Radical Equations

How to solve radical equations: example and its solution.

## Example

First, find the range of *x*.*x* + 6 is the radicand of the square root.

So *x* + 6 ≥ 0.*x* ≥ -6

√*x* + 6 ≥ 0.

So √*x* + 6 = *x* ≥ 0*x* ≥ 0

The intersection of both inequalities is *x* ≥ 0.

To remove the radical sign,

square both sides.

Solve the quadratic equation by factoring.

Then *x* = -2, 3.

See if *x* = -2, 3 is in *x* ≥ 0.*x* = -2 is not in *x* ≥ 0.

So *x* = 3 is the answer.