Simplify the Radical Expression square root of 60

$\sqrt{60}$

Step 1

Rewrite $60$ as $2^{2} \cdot 15$ .

Factor $4$ out of $60$ .

$\sqrt{4 (15)}$

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

$\sqrt{2^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$| 2 | \sqrt{15}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2 \sqrt{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{15}$

Decimal Form:

$7.74596669 \dots$