Algebra Examples

\sqrt{3200}

$\sqrt{3200}$

Step 1

Rewrite

3200

$3200$ as

40^{2} \cdot 2

$40^{2} \cdot 2$ .

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Step 1.1

Factor

1600

$1600$ out of

3200

$3200$ .

\sqrt{1600 (2)}

$\sqrt{1600 (2)}$

Step 1.2

Rewrite

1600

$1600$ as

40^{2}

$40^{2}$ .

\sqrt{40^{2} \cdot 2}

$\sqrt{40^{2} \cdot 2}$

\sqrt{40^{2} \cdot 2}

$\sqrt{40^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

40 \sqrt{2}

$40 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

40 \sqrt{2}

$40 \sqrt{2}$

Decimal Form:

56.56854249 \dots

$56.56854249 \dots$

Enter a problem...

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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