Simplify the Radical Expression square root of 160

$\sqrt{160}$

Step 1

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

Factor $16$ out of $160$ .

$\sqrt{16 (10)}$

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

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

Step 2

Pull terms out from under the radical.

$| 4 | \sqrt{10}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$4 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{10}$

Decimal Form:

$12.64911064 \dots$