Simplify (-6 square root of 80)

$(- 6 \sqrt{80})$

Step 1

Remove parentheses.

$- 6 \sqrt{80}$

Step 2

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

Factor $16$ out of $80$ .

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

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

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

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

Step 3

Pull terms out from under the radical.

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

Step 4

Multiply $4$ by $- 6$ .

$- 24 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- 24 \sqrt{5}$

Decimal Form:

$- 53.66563145 \dots$

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