Algebra Examples

\sqrt{4000}

$\sqrt{4000}$

Step 1

Rewrite

4000

$4000$ as

20^{2} \cdot 10

$20^{2} \cdot 10$ .

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Step 1.1

Factor

400

$400$ out of

4000

$4000$ .

\sqrt{400 (10)}

$\sqrt{400 (10)}$

Step 1.2

Rewrite

400

$400$ as

20^{2}

$20^{2}$ .

\sqrt{20^{2} \cdot 10}

$\sqrt{20^{2} \cdot 10}$

\sqrt{20^{2} \cdot 10}

$\sqrt{20^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

20 \sqrt{10}

$20 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

20 \sqrt{10}

$20 \sqrt{10}$

Decimal Form:

63.24555320 \dots

$63.24555320 \dots$

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

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