Evaluate square root of 405

$\sqrt{405}$

Step 1

Rewrite $405$ as $9^{2} \cdot 5$ .

Factor $81$ out of $405$ .

$\sqrt{81 (5)}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} \cdot 5}$

$\sqrt{9^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$9 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{5}$

Decimal Form:

$20.12461179 \dots$

Related Questions