Algebra Examples

\sqrt{350}

$\sqrt{350}$

Step 1

Rewrite

350

$350$ as

5^{2} \cdot 14

$5^{2} \cdot 14$ .

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Step 1.1

Factor

25

$25$ out of

350

$350$ .

\sqrt{25 (14)}

$\sqrt{25 (14)}$

Step 1.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 14}

$\sqrt{5^{2} \cdot 14}$

\sqrt{5^{2} \cdot 14}

$\sqrt{5^{2} \cdot 14}$

Step 2

Pull terms out from under the radical.

5 \sqrt{14}

$5 \sqrt{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{14}

$5 \sqrt{14}$

Decimal Form:

18.70828693 \dots

$18.70828693 \dots$

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

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