Simplify - square root of 50

$- \sqrt{50}$

Step 1

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

Factor $25$ out of $50$ .

$- \sqrt{25 (2)}$

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

Multiply $5$ by $- 1$ .

$- 5 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt{2}$

Decimal Form:

$- 7.07106781 \dots$

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