Simplify square root of 20t^2

$\sqrt{20 t^{2}}$

Step 1

Rewrite $20 t^{2}$ as ${(2 t)}^{2} \cdot 5$ .

Factor $4$ out of $20$ .

$\sqrt{4 (5) t^{2}}$

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

$\sqrt{2^{2} \cdot 5 t^{2}}$

Move $5$ .

$\sqrt{2^{2} t^{2} \cdot 5}$

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

$\sqrt{{(2 t)}^{2} \cdot 5}$

$\sqrt{{(2 t)}^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$2 t \sqrt{5}$

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