Algebra Examples

$\sqrt{50}$

Step 1

Rewrite

$50$ as

$5^{2} \cdot 2$ .

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Step 1.1

Factor

$25$ out of

$50$ .

$\sqrt{25 (2)}$

Step 1.2

Rewrite

$25$ as

$5^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$5 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{2}$

Decimal Form:

$7.07106781 \dots$

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