SOLUTION: I am unsure how to solve this problem: z sqrt 50zu^2- 8u sqrt 2z^3 Thank you for your help

Question 177297: I am unsure how to solve this problem:
z sqrt 50zu^2- 8u sqrt 2z^3
Thank you for your help

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, simplify

Start with the given expression.

Factor into

Break up the square root using the identity .

Take the square root of to get .

Take the square root of to get .

Rearrange and combine the terms.

So where every variable is positive.

------------------------------------------------

Now let's simplify

Start with the given expression.

Factor into

Break up the square root using the identity .

Take the square root of to get .

Rearrange and combine the terms.

So where every variable is positive.

===================================================================

So

simplifies to

Rearrange the terms.

Factor out

Combine like terms.

Rearrange the terms.

================================================================

Answer:

So completely simplifies to

In other words, where every variable is positive.
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