Evaluate square root of 605

$\sqrt{605}$

Step 1

Rewrite $605$ as $11^{2} \cdot 5$ .

Factor $121$ out of $605$ .

$\sqrt{121 (5)}$

Rewrite $121$ as $11^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$11 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$11 \sqrt{5}$

Decimal Form:

$24.59674775 \dots$

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