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

1 Answer

Answer:

#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)#