Simplify cube root of 72

$\sqrt[3]{72}$

Step 1

Rewrite $72$ as $2^{3} \cdot 9$ .

Factor $8$ out of $72$ .

$\sqrt[3]{8 (9)}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 9}$

$\sqrt[3]{2^{3} \cdot 9}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{9}$

Decimal Form:

$4.16016764 \dots$

Related Questions