Algebra Examples

\sqrt{300}

$\sqrt{300}$

Step 1

Rewrite

300

$300$ as

10^{2} \cdot 3

$10^{2} \cdot 3$ .

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Step 1.1

Factor

100

$100$ out of

300

$300$ .

\sqrt{100 (3)}

$\sqrt{100 (3)}$

Step 1.2

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

\sqrt{10^{2} \cdot 3}

$\sqrt{10^{2} \cdot 3}$

\sqrt{10^{2} \cdot 3}

$\sqrt{10^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

10 \sqrt{3}

$10 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

10 \sqrt{3}

$10 \sqrt{3}$

Decimal Form:

17.32050807 \dots

$17.32050807 \dots$

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

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