Evaluate square root of 320

$\sqrt{320}$

Step 1

Rewrite $320$ as $8^{2} \cdot 5$ .

Factor $64$ out of $320$ .

$\sqrt{64 (5)}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 5}$

$\sqrt{8^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$8 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{5}$

Decimal Form:

$17.88854381 \dots$

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