Evaluate - square root of 2000

$- \sqrt{2000}$

Step 1

Rewrite $2000$ as $20^{2} \cdot 5$ .

Factor $400$ out of $2000$ .

$- \sqrt{400 (5)}$

Rewrite $400$ as $20^{2}$ .

$- \sqrt{20^{2} \cdot 5}$

$- \sqrt{20^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$- (20 \sqrt{5})$

Step 3

Multiply $20$ by $- 1$ .

$- 20 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 20 \sqrt{5}$

Decimal Form:

$- 44.72135954 \dots$

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