Evaluate - fourth root of 243

$- \sqrt[4]{243}$

Step 1

Rewrite $243$ as $3^{4} \cdot 3$ .

Factor $81$ out of $243$ .

$- \sqrt[4]{81 (3)}$

Rewrite $81$ as $3^{4}$ .

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

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

Step 2

Pull terms out from under the radical.

$- (3 \sqrt[4]{3})$

Step 3

Multiply $3$ by $- 1$ .

$- 3 \sqrt[4]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 3 \sqrt[4]{3}$

Decimal Form:

$- 3.94822203 \dots$

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