Evaluate square root of 198

$\sqrt{198}$

Step 1

Rewrite $198$ as $3^{2} \cdot 22$ .

Factor $9$ out of $198$ .

$\sqrt{9 (22)}$

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

$\sqrt{3^{2} \cdot 22}$

$\sqrt{3^{2} \cdot 22}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{22}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{22}$

Decimal Form:

$14.07124727 \dots$

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