Evaluate ( fourth root of 144)/( fourth root of 3)

$\frac{\sqrt[4]{144}}{\sqrt[4]{3}}$

Step 1

Combine $\sqrt[4]{144}$ and $\sqrt[4]{3}$ into a single radical.

$\sqrt[4]{\frac{144}{3}}$

Step 2

Divide $144$ by $3$ .

$\sqrt[4]{48}$

Step 3

Rewrite $48$ as $2^{4} \cdot 3$ .

Factor $16$ out of $48$ .

$\sqrt[4]{16 (3)}$

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

$\sqrt[4]{2^{4} \cdot 3}$

Step 4

Pull terms out from under the radical.

$2 \sqrt[4]{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[4]{3}$

Decimal Form:

$2.63214802 \dots$