Simplify square root of 1200

$\sqrt{1200}$

Step 1

Rewrite $1200$ as $20^{2} \cdot 3$ .

Factor $400$ out of $1200$ .

$\sqrt{400 (3)}$

Rewrite $400$ as $20^{2}$ .

$\sqrt{20^{2} \cdot 3}$

$\sqrt{20^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$20 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$20 \sqrt{3}$

Decimal Form:

$34.64101615 \dots$

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