Algebra Examples

\sqrt{x^{5}}

$\sqrt{x^{5}}$

Step 1

Rewrite

x^{5}

$x^{5}$ as

{(x^{2})}^{2} x

${(x^{2})}^{2} x$ .

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Step 1.1

Factor out

x^{4}

$x^{4}$ .

\sqrt{x^{4} x}

$\sqrt{x^{4} x}$

Step 1.2

Rewrite

x^{4}

$x^{4}$ as

{(x^{2})}^{2}

${(x^{2})}^{2}$ .

\sqrt{{(x^{2})}^{2} x}

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

\sqrt{{(x^{2})}^{2} x}

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

Step 2

Pull terms out from under the radical.

x^{2} \sqrt{x}

$x^{2} \sqrt{x}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$