Evaluate cube root of 192

$\sqrt[3]{192}$

Step 1

Rewrite $192$ as $4^{3} \cdot 3$ .

Factor $64$ out of $192$ .

$\sqrt[3]{64 (3)}$

Rewrite $64$ as $4^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

$4 \sqrt[3]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt[3]{3}$

Decimal Form:

$5.76899828 \dots$

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