Evaluate ( fourth root of 192)/( fourth root of 6)

$\frac{\sqrt[4]{192}}{\sqrt[4]{6}}$

Step 1

Combine $\sqrt[4]{192}$ and $\sqrt[4]{6}$ into a single radical.

$\sqrt[4]{\frac{192}{6}}$

Step 2

Divide $192$ by $6$ .

$\sqrt[4]{32}$

Step 3

Rewrite $32$ as $2^{4} \cdot 2$ .

Factor $16$ out of $32$ .

$\sqrt[4]{16 (2)}$

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt[4]{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{2}$

Decimal Form:

$2.37841423 \dots$