Algebra Examples

\sqrt{1200}

$\sqrt{1200}$

Step 1

Rewrite

1200

$1200$ as

20^{2} \cdot 3

$20^{2} \cdot 3$ .

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Step 1.1

Factor

400

$400$ out of

1200

$1200$ .

\sqrt{400 (3)}

$\sqrt{400 (3)}$

Step 1.2

Rewrite

400

$400$ as

20^{2}

$20^{2}$ .

\sqrt{20^{2} \cdot 3}

$\sqrt{20^{2} \cdot 3}$

\sqrt{20^{2} \cdot 3}

$\sqrt{20^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

20 \sqrt{3}

$20 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

20 \sqrt{3}

$20 \sqrt{3}$

Decimal Form:

34.64101615 \dots

$34.64101615 \dots$

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

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