Evaluate sixth root of 128

$\sqrt[6]{128}$

Step 1

Rewrite $128$ as $2^{6} \cdot 2$ .

Factor $64$ out of $128$ .

$\sqrt[6]{64 (2)}$

Rewrite $64$ as $2^{6}$ .

$\sqrt[6]{2^{6} \cdot 2}$

$\sqrt[6]{2^{6} \cdot 2}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[6]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[6]{2}$

Decimal Form:

$2.24492409 \dots$

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