Evaluate - square root of 500

$- \sqrt{500}$

Step 1

Rewrite $500$ as $10^{2} \cdot 5$ .

Factor $100$ out of $500$ .

$- \sqrt{100 (5)}$

Rewrite $100$ as $10^{2}$ .

$- \sqrt{10^{2} \cdot 5}$

$- \sqrt{10^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$- (10 \sqrt{5})$

Step 3

Multiply $10$ by $- 1$ .

$- 10 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 10 \sqrt{5}$

Decimal Form:

$- 22.36067977 \dots$

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