Simplify square root of 48t^2

$\sqrt{48 t^{2}}$

Step 1

Rewrite $48 t^{2}$ as ${(4 t)}^{2} \cdot 3$ .

Factor $16$ out of $48$ .

$\sqrt{16 (3) t^{2}}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 3 t^{2}}$

Move $3$ .

$\sqrt{4^{2} t^{2} \cdot 3}$

Rewrite $4^{2} t^{2}$ as ${(4 t)}^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$4 t \sqrt{3}$

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