Simplify square root of 164

$\sqrt{164}$

Step 1

Rewrite $164$ as $2^{2} \cdot 41$ .

Factor $4$ out of $164$ .

$\sqrt{4 (41)}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 41}$

$\sqrt{2^{2} \cdot 41}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{41}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{41}$

Decimal Form:

$12.80624847 \dots$

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