Algebra Examples

$\sqrt{x^{11}}$

Step 1

Rewrite $x^{11}$ as ${(x^{5})}^{2} x$ .

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Step 1.1

Factor out $x^{10}$ .

$\sqrt{x^{10} x}$

Step 1.2

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$x^{5} \sqrt{x}$

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