Simplify cube root of 243

$\sqrt[3]{243}$

Step 1

Rewrite $243$ as $3^{3} \cdot 9$ .

Factor $27$ out of $243$ .

$\sqrt[3]{27 (9)}$

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

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

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

Step 2

Pull terms out from under the radical.

$3 \sqrt[3]{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{9}$

Decimal Form:

$6.24025146 \dots$

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