Algebra Examples

\sqrt{512}

$\sqrt{512}$

Step 1

Rewrite

$512$ as

$16^{2} \cdot 2$ .

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Step 1.1

Factor

$256$ out of

$512$ .

$\sqrt{256 (2)}$

Step 1.2

Rewrite

$256$ as

$16^{2}$ .

$\sqrt{16^{2} \cdot 2}$

$\sqrt{16^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$16 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt{2}$

Decimal Form:

$22.62741699 \dots$

Enter a problem...

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