Simplify square root of 304

$\sqrt{304}$

Step 1

Rewrite $304$ as $4^{2} \cdot 19$ .

Factor $16$ out of $304$ .

$\sqrt{16 (19)}$

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

$\sqrt{4^{2} \cdot 19}$

$\sqrt{4^{2} \cdot 19}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{19}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{19}$

Decimal Form:

$17.43559577 \dots$

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