Simplify fourth root of 121

$\sqrt[4]{121}$

Step 1

Rewrite $121$ as $11^{2}$ .

$\sqrt[4]{11^{2}}$

Step 2

Rewrite $\sqrt[4]{11^{2}}$ as $\sqrt{\sqrt{11^{2}}}$ .

$\sqrt{\sqrt{11^{2}}}$

Step 3

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

$\sqrt{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{11}$

Decimal Form:

$3.31662479 \dots$