Simplify the Radical Expression 3 square root of 27

$3 \sqrt{27}$

Step 1

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$3 \sqrt{9 (3)}$

Rewrite $9$ as $3^{2}$ .

$3 \sqrt{3^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$3 (| 3 | \sqrt{3})$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

$3 (3 \sqrt{3})$

Step 4

Multiply $3$ by $3$ .

$9 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{3}$

Decimal Form:

$15.58845726 \dots$