Evaluate square root of 404

$\sqrt{404}$

Step 1

Rewrite $404$ as $2^{2} \cdot 101$ .

Factor $4$ out of $404$ .

$\sqrt{4 (101)}$

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

$\sqrt{2^{2} \cdot 101}$

$\sqrt{2^{2} \cdot 101}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{101}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{101}$

Decimal Form:

$20.09975124 \dots$

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