Simplify fourth root of 486

$\sqrt[4]{486}$

Step 1

Rewrite $486$ as $3^{4} \cdot 6$ .

Factor $81$ out of $486$ .

$\sqrt[4]{81 (6)}$

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

$\sqrt[4]{3^{4} \cdot 6}$

$\sqrt[4]{3^{4} \cdot 6}$

Step 2

Pull terms out from under the radical.

$3 \sqrt[4]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[4]{6}$

Decimal Form:

$4.69525374 \dots$

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