Evaluate square root of 800

$\sqrt{800}$

Step 1

Rewrite $800$ as $20^{2} \cdot 2$ .

Factor $400$ out of $800$ .

$\sqrt{400 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

$20 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{2}$

Decimal Form:

$28.28427124 \dots$

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