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

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{5}$

Decimal Form:

$44.72135954 \dots$

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