Simplify square root of 810

$\sqrt{810}$

Step 1

Rewrite $810$ as $9^{2} \cdot 10$ .

Factor $81$ out of $810$ .

$\sqrt{81 (10)}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} \cdot 10}$

$\sqrt{9^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$9 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{10}$

Decimal Form:

$28.46049894 \dots$

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