question_answer

If \[u=\sqrt[16]{7}+\sqrt[16]{5},\] \[v=\sqrt{7}+\sqrt{5},\] \[w=\sqrt[8]{7}+\sqrt[8]{5},\]\[x=\sqrt[16]{7}-\sqrt[16]{5},\] and \[y=\sqrt[4]{7}+\sqrt[4]{5},\] then which one of the following is a rational number?

A) uvxy                                                                

B) uvwxy       

C) uxwy                                                                

D) vwxy

E) None of these