Simplify square root of 12t^2

$\sqrt{12 t^{2}}$

Step 1

Rewrite $12 t^{2}$ as ${(2 t)}^{2} \cdot 3$ .

Factor $4$ out of $12$ .

$\sqrt{4 (3) t^{2}}$

Rewrite $4$ as $2^{2}$ .

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

Move $3$ .

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

Rewrite $2^{2} t^{2}$ as ${(2 t)}^{2}$ .

$\sqrt{{(2 t)}^{2} \cdot 3}$

$\sqrt{{(2 t)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$2 t \sqrt{3}$

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