Question

Find the answer to zero point 39 repeating plus square root of 175 end square root and select the correct answer below. Also, is the sum of a nonzero rational number and an irrational number classified as rational or irrational?

Answer 1

You haven't shared the possible answer list.  But we can still "find the answer," whatever that means (you haven't defined your goal).

0.39 repeating  +  sqrt(175)

0.39 is rational; do you know how to find the equivalent numerical ratio?  It's 
         13/33.

On the other hand, 175 = 7*25.  7 is not a perfect square; 25 is one.
Thus, sqrt(175) = sqrt(25)*sqrt(7) = 5 sqrt(7).  sqrt(7) is irrational.

The sum of a rational expression and an irrational one is irrational.