Evaluate square root of 475

$\sqrt{475}$

Step 1

Rewrite $475$ as $5^{2} \cdot 19$ .

Factor $25$ out of $475$ .

$\sqrt{25 (19)}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 19}$

$\sqrt{5^{2} \cdot 19}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{19}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{19}$

Decimal Form:

$21.79449471 \dots$

Related Questions