Simplify square root of 208

$\sqrt{208}$

Step 1

Rewrite $208$ as $4^{2} \cdot 13$ .

Factor $16$ out of $208$ .

$\sqrt{16 (13)}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 13}$

$\sqrt{4^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{13}$

Decimal Form:

$14.42220510 \dots$

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