Simplify ( fourth root of 27)/( fourth root of 3)

$\frac{\sqrt[4]{27}}{\sqrt[4]{3}}$

Combine $\sqrt[4]{27}$ and $\sqrt[4]{3}$ into a single radical.

$\sqrt[4]{\frac{27}{3}}$

Simplify the expression.

Divide $27$ by $3$ .

$\sqrt[4]{9}$

Rewrite $9$ as $3^{2}$ .

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

Rewrite $\sqrt[4]{3^{2}}$ as $\sqrt{\sqrt{3^{2}}}$ .

$\sqrt{\sqrt{3^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$