Is there a way to simplify my chemical system model?

[Hootenanny]

I'm doing a chemistry report and I'm attempting to model a chemical system. However, the formulae I'm coming up with looks rather ugly and complicated I was wondering if there was any way I could simplify it. I can't see any way though.

I have come up with:
$$SQ = \sqrt{\frac{CL^2 + 2CL + 1}{4CD^2} + \frac{2TC}{CD}}$$

Now that doesn't look too bad, but then I've got to subsitute it into this:
$$\frac{dR}{dt} = \frac{1}{2} + \frac{1 + CL}{4CD\cdot SQ} \cdot \frac{dTG}{dt}$$

Which to me looks horrible. Can anyone help? I am confident at doing the subsitution, but I think that its gona look rather ugly.

 

[Lyuokdea]

i don't really see any obvious simplification, becides cancling the C's in the second part of the sqrt. sometimes nasty squations are a part of life. The best advice I can offer is to work as much as you can using SQ in the equation instead of actually writing in what SQ is, and then substituting it in when possible.

~Lyuokdea

 

[Hootenanny]

unfortunately $CL$ and $CD$ etc are single terms, so the C's cannotbe canceled :(. Thanks anyway :D