Simplify square root of 500

$\sqrt{500}$

Step 1

Rewrite $500$ as $10^{2} \cdot 5$ .

Factor $100$ out of $500$ .

$\sqrt{100 (5)}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} \cdot 5}$

$\sqrt{10^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$10 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{5}$

Decimal Form:

$22.36067977 \dots$

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