Simplifying the Buckingham equation

[stevemilw]

Hello, i have a question which is too hard for me to type in here, so I've scanned in the image.
At the top, as explained in the image, i have the answer I've found in my lecture notes, but then I've worked it out for myself and i do not get the same answer.
Can someone please tell me where I am going wrong?
Im making V2 the subject

All help is appretiated, don't be shy.
Thanks!

heres the link: http://www4.picturepush.com/photo/a/6324532/640/6324532.jpg

p.s i originally posted this in yahoo answers but got no response.

 

[tiny-tim]

hello stevemilw!

i don't understand what you mean by "the apparent answer leaves me with a negative square root and no divider"

(and your z₁ + z₂ should be 2g(z₁ + z₂))

 

[stevemilw]

Hello
What i meant by that is my answer (at the very bottom) gave me the top part with the pressures devided by the bottom part.
Also I am not sure what you meant by it should be 2G(Z1+Z2) because as i x2g on both sides, shouldn't i only times by one of the sides either side of the plus? writing this now, that seems stupid. You must be right.

What i mean by the whole thing, is you have the buckingham equation at the very top.
Second equation is the answer that my textbook says i should get when i re-arrange the formula to make V2 the subject.
The third equation annd the next and so on are my attempts. And i do not the the answer my textbook gives as you can see at the bottom.

Thanks

 

[tiny-tim]

Second equation is the answer that my textbook says i should get when i re-arrange the formula to make V2 the subject.
The third equation annd the next and so on are my attempts. And i do not the the answer my textbook gives as you can see at the bottom.

they look the same to me

(with X^-1/2 instead of 1/√X )

 

[stevemilw]

ooooh, i feel really stupid now.
I didnt realize that x^-1/2 was 1/sqrt x

God, you wouldn't believe the amount of hassel that's given me!

I know -1 was one over, to the negetive half is 1 over the sqrt.

Thanks, this is something I am not going to forget in a while! lol