Evaluate square root of 464

$\sqrt{464}$

Step 1

Rewrite $464$ as $4^{2} \cdot 29$ .

Factor $16$ out of $464$ .

$\sqrt{16 (29)}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 29}$

$\sqrt{4^{2} \cdot 29}$

Step 2

Pull terms out from under the radical.

$4 \sqrt{29}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{29}$

Decimal Form:

$21.54065922 \dots$

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