Simplify fourth root of 49

$\sqrt[4]{49}$

Rewrite $49$ as $7^{2}$ .

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

Rewrite $\sqrt[4]{7^{2}}$ as $\sqrt{\sqrt{7^{2}}}$ .

$\sqrt{\sqrt{7^{2}}}$

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

$\sqrt{7}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{7}$

Decimal Form:

$2.64575131 \dots$