Simplify fifth root of 64

$\sqrt[5]{64}$

Step 1

Rewrite $64$ as $2^{5} \cdot 2$ .

Factor $32$ out of $64$ .

$\sqrt[5]{32 (2)}$

Rewrite $32$ as $2^{5}$ .

$\sqrt[5]{2^{5} \cdot 2}$

$\sqrt[5]{2^{5} \cdot 2}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[5]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[5]{2}$

Decimal Form:

$2.29739670 \dots$

Related Questions