Simplify square root of 112

$\sqrt{112}$

Step 1

Rewrite $112$ as $4^{2} \cdot 7$ .

Factor $16$ out of $112$ .

$\sqrt{16 (7)}$

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

$\sqrt{4^{2} \cdot 7}$

$\sqrt{4^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{7}$

Decimal Form:

$10.58300524 \dots$

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