Algebra Examples

\sqrt{8}

$\sqrt{8}$

Step 1

Rewrite

8

$8$ as

2^{2} \cdot 2

$2^{2} \cdot 2$ .

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Step 1.1

Factor

4

$4$ out of

8

$8$ .

\sqrt{4 (2)}

$\sqrt{4 (2)}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

2 \sqrt{2}

$2 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

2 \sqrt{2}

$2 \sqrt{2}$

Decimal Form:

2.82842712 \dots

$2.82842712 \dots$

\sqrt[]{8}

$\sqrt[]{8}$

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

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