Translate this sentence to predicate logic The question given asks to translate to predicate logic:

Every positive real number has a unique positive real root.

My solution to this problem is to separate it into the appropriate quantifiers.
C(x) = "Every positive real number x"
S(x) = "x has a positive real root"
the final logic form being: ∀x(C(x)→S(x))
It seems to easy for it to be correct. I need help in confirming my answer.

The formula you have translates to:
"For all $x$, if every positive real number $x$, then $x$ has a positive root". 
This does not make sense, and does not correspond to the statement you wish to formalize.
What you want to say is

$$\forall x(\text{$x$ is a positive real number} \rightarrow \text{$x$ has a unique positive root})$$

i.e., 

"For all $x$, if $x$ is a positive real number, then $x$ has a unique positive root.

which is equivalent to 

"Every positive real number has a unique positive root."

