Evaluate square root of 275

$\sqrt{275}$

Step 1

Rewrite $275$ as $5^{2} \cdot 11$ .

Factor $25$ out of $275$ .

$\sqrt{25 (11)}$

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

$\sqrt{5^{2} \cdot 11}$

$\sqrt{5^{2} \cdot 11}$

Step 2

Pull terms out from under the radical.

$5 \sqrt{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{11}$

Decimal Form:

$16.58312395 \dots$

Related Questions