Simplify (-6 square root of 80)(3)

$(- 6 \sqrt{80}) (3)$

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

Factor $16$ out of $80$ .

$- 6 \sqrt{16 (5)} \cdot 3$

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

$- 6 \sqrt{4^{2} \cdot 5} \cdot 3$

$- 6 \sqrt{4^{2} \cdot 5} \cdot 3$

Pull terms out from under the radical.

$- 6 (4 \sqrt{5}) \cdot 3$

Multiply.

Multiply $4$ by $- 6$ .

$- 24 \sqrt{5} \cdot 3$

Multiply $3$ by $- 24$ .

$- 72 \sqrt{5}$

$- 72 \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$- 72 \sqrt{5}$

Decimal Form:

$- 160.99689437 \dots$

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