Simplify -4 square root of 160

$- 4 \sqrt{160}$

Step 1

Rewrite $160$ as $4^{2} \cdot 10$ .

Factor $16$ out of $160$ .

$- 4 \sqrt{16 (10)}$

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

$- 4 \sqrt{4^{2} \cdot 10}$

$- 4 \sqrt{4^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$- 4 (4 \sqrt{10})$

Step 3

Multiply $4$ by $- 4$ .

$- 16 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 16 \sqrt{10}$

Decimal Form:

$- 50.59644256 \dots$

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