Simplify fourth root of 112

$\sqrt[4]{112}$

Step 1

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

Factor $16$ out of $112$ .

$\sqrt[4]{16 (7)}$

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

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

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

Step 2

Pull terms out from under the radical.

$2 \sqrt[4]{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{7}$

Decimal Form:

$3.25315312 \dots$

Related Questions