Solving Radical Equations

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

To isolate a radical, you should perform algebraic operations to get the radical term by itself on one side of the equation.

Multiply both sides by 5 to eliminate the fraction.

Checking your answers means substituting the solution back into the original equation to ensure it satisfies the equation.

Multiply both sides by 5 to get $$x = 125$$ .

Squaring both sides is used to eliminate a square root, allowing you to solve for the variable.

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root.

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Divide both sides by 2 to isolate the radical.

Square both sides to get $$x = 16$$ .