Evaluate square root of 99

$\sqrt{99}$

Step 1

Rewrite $99$ as $3^{2} \cdot 11$ .

Factor $9$ out of $99$ .

$\sqrt{9 (11)}$

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

$\sqrt{3^{2} \cdot 11}$

$\sqrt{3^{2} \cdot 11}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{11}$

Decimal Form:

$9.94987437 \dots$

Related Questions