Simplify cube root of 162

$\sqrt[3]{162}$

Step 1

Rewrite $162$ as $3^{3} \cdot 6$ .

Factor $27$ out of $162$ .

$\sqrt[3]{27 (6)}$

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} \cdot 6}$

$\sqrt[3]{3^{3} \cdot 6}$

Step 2

Pull terms out from under the radical.

$3 \sqrt[3]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{6}$

Decimal Form:

$5.45136177 \dots$

Related Questions