Precalculus Examples

$\sqrt{x} = 5$

To remove the radical on the left side of the equation, square both sides of the equation.

${(\sqrt{x})}^{2} = {(5)}^{2}$

Simplify the left side of the equation.

$x = {(5)}^{2}$

Simplify the right side of the equation.

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Remove parentheses around $5$ .

$x = 5^{2}$

Raise $5$ to the power of $2$ .

$x = 25$

Verify each of the solutions by substituting them into $\sqrt{x} = 5$ and solving.

$x = 25$

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