Question

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

Answer 1

`sqrtz+4sqrt(2z)=(sqrtz)(1+4sqrt2)`

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(16z)+2sqrt(8z)-3sqrtz`

`4sqrtz+2(2)sqrt(2z)-3sqrtz`

`sqrtz+4sqrt(2z)`

We can stop here, or we can factor out `sqrtz`:

`(sqrtz)(1+4sqrt2)`