Simplify square root of 8t^2

$\sqrt{8 t^{2}}$

Step 1

Rewrite $8 t^{2}$ as ${(2 t)}^{2} \cdot 2$ .

Factor $4$ out of $8$ .

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

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

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

Move $2$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$2 t \sqrt{2}$

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