Simplify 2 square root of 50

$2 \sqrt{50}$

Step 1

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

Factor $25$ out of $50$ .

$2 \sqrt{25 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$2 (5 \sqrt{2})$

Step 3

Multiply $5$ by $2$ .

$10 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{2}$

Decimal Form:

$14.14213562 \dots$

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