Evaluate square root of 207

$\sqrt{207}$

Step 1

Rewrite $207$ as $3^{2} \cdot 23$ .

Factor $9$ out of $207$ .

$\sqrt{9 (23)}$

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

$\sqrt{3^{2} \cdot 23}$

$\sqrt{3^{2} \cdot 23}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{23}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{23}$

Decimal Form:

$14.38749456 \dots$

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