Simplify fourth root of 162

$\sqrt[4]{162}$

Step 1

Rewrite $162$ as $3^{4} \cdot 2$ .

Factor $81$ out of $162$ .

$\sqrt[4]{81 (2)}$

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

$\sqrt[4]{3^{4} \cdot 2}$

$\sqrt[4]{3^{4} \cdot 2}$

Step 2

Pull terms out from under the radical.

$3 \sqrt[4]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[4]{2}$

Decimal Form:

$3.56762134 \dots$

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