Simplify 5 square root of 50

$5 \sqrt{50}$

Rewrite $50$ as $5^{2} \cdot 2$ .

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Factor $25$ out of $50$ .

$5 \sqrt{25 (2)}$

Rewrite $25$ as $5^{2}$ .

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

Pull terms out from under the radical.

$5 (5 \sqrt{2})$

Multiply $5$ by $5$ .

$25 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$25 \sqrt{2}$

Decimal Form:

$35.35533905 \dots$

Simplify 5 square root of 50

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