Evaluate square root of 4000

$\sqrt{4000}$

Step 1

Rewrite $4000$ as $20^{2} \cdot 10$ .

Factor $400$ out of $4000$ .

$\sqrt{400 (10)}$

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

$\sqrt{20^{2} \cdot 10}$

$\sqrt{20^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$20 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{10}$

Decimal Form:

$63.24555320 \dots$

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