Pre-Algebra Examples

$\sqrt{2^{5}}$

Step 1

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

$\sqrt{32}$

Step 2

Rewrite $32$ as $4^{2} \cdot 2$ .

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Step 2.1

Factor $16$ out of $32$ .

$\sqrt{16 (2)}$

Step 2.2

Rewrite $16$ as $4^{2}$ .

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

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

Step 3

Pull terms out from under the radical.

$4 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{2}$

Decimal Form:

$5.65685424 \dots$

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