# How do you simplify sqrt(16z)+2sqrt(8z)-3sqrtz?

##### 1 Answer

$\sqrt{z} + 4 \sqrt{2 z} = \left(\sqrt{z}\right) \left(1 + 4 \sqrt{2}\right)$

#### Explanation:

We have three terms, all with different terms under the square root sign. Let's see if we can find a way to combine them.

$\sqrt{16 z} + 2 \sqrt{8 z} - 3 \sqrt{z}$

$4 \sqrt{z} + 2 \left(2\right) \sqrt{2 z} - 3 \sqrt{z}$

$\sqrt{z} + 4 \sqrt{2 z}$

We can stop here, or we can factor out $\sqrt{z}$:

$\left(\sqrt{z}\right) \left(1 + 4 \sqrt{2}\right)$