Solving Radical Equations

An equation that contains a variable within a radical (square root, cube root, etc.).

You can isolate the variable by performing inverse operations, such as squaring both sides to eliminate the square root.

Square both sides to eliminate the square root: x + 5 = 81.

x = 64.

Isolate the variable and solve for it.

To ensure that the solutions do not produce extraneous results when substituted back into the original equation.

A solution that does not satisfy the original equation after it has been derived.

First, divide both sides by 2 to get √(x) = 8, then square both sides to find x = 64.

Square both sides to eliminate the square root: 2x + 3 = 25.

x = 10.