Simplify 4 square root of 80

$4 \sqrt{80}$

Step 1

Rewrite $80$ as $4^{2} \cdot 5$ .

Factor $16$ out of $80$ .

$4 \sqrt{16 (5)}$

Rewrite $16$ as $4^{2}$ .

$4 \sqrt{4^{2} \cdot 5}$

$4 \sqrt{4^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$4 (4 \sqrt{5})$

Step 3

Multiply $4$ by $4$ .

$16 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt{5}$

Decimal Form:

$35.77708763 \dots$

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