Evaluate fourth root of 405

$\sqrt[4]{405}$

Step 1

Rewrite $405$ as $3^{4} \cdot 5$ .

Factor $81$ out of $405$ .

$\sqrt[4]{81 (5)}$

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

$\sqrt[4]{3^{4} \cdot 5}$

$\sqrt[4]{3^{4} \cdot 5}$

Step 2

Pull terms out from under the radical.

$3 \sqrt[4]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[4]{5}$

Decimal Form:

$4.48604634 \dots$

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