Evaluate square root of 300

$\sqrt{300}$

Step 1

Rewrite $300$ as $10^{2} \cdot 3$ .

Factor $100$ out of $300$ .

$\sqrt{100 (3)}$

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

$\sqrt{10^{2} \cdot 3}$

$\sqrt{10^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$10 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{3}$

Decimal Form:

$17.32050807 \dots$

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