Algebra Examples

\sqrt{32}

$\sqrt{32}$

Step 1

Rewrite

32

$32$ as

4^{2} \cdot 2

$4^{2} \cdot 2$ .

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Step 1.1

Factor

16

$16$ out of

32

$32$ .

\sqrt{16 (2)}

$\sqrt{16 (2)}$

Step 1.2

Rewrite

16

$16$ as

4^{2}

$4^{2}$ .

\sqrt{4^{2} \cdot 2}

$\sqrt{4^{2} \cdot 2}$

\sqrt{4^{2} \cdot 2}

$\sqrt{4^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

4 \sqrt{2}

$4 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

4 \sqrt{2}

$4 \sqrt{2}$

Decimal Form:

5.65685424 \dots

$5.65685424 \dots$

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

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