Simplify square root of 5yz^2*2

$\sqrt{5 y z^{2} \cdot 2}$

Step 1

Multiply $2$ by $5$ .

$\sqrt{10 y z^{2}}$

Step 2

Rewrite $10 y z^{2}$ as $z^{2} \cdot (10 y)$ .

Move $y$ .

$\sqrt{10 z^{2} y}$

Reorder $10$ and $z^{2}$ .

$\sqrt{z^{2} \cdot 10 y}$

Add parentheses.

$\sqrt{z^{2} \cdot (10 y)}$

$\sqrt{z^{2} \cdot (10 y)}$

Step 3

Pull terms out from under the radical.

$z \sqrt{10 y}$

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