cmi-entrance 2015 Q5

cmi-entrance · India · pgmath 4 marks Not Maths
Which of the following complex numbers has/have a prime number as the degree of its minimal polynomial over $\mathbb{Q}$?
(A) $\zeta_{7}$, a primitive 7th root of unity;
(B) $\sqrt{2}+\sqrt{3}$;
(C) $\sqrt{-1}$;
(D) $\sqrt[3]{2}$.
Which of the following complex numbers has/have a prime number as the degree of its minimal polynomial over $\mathbb{Q}$?\\
(A) $\zeta_{7}$, a primitive 7th root of unity;\\
(B) $\sqrt{2}+\sqrt{3}$;\\
(C) $\sqrt{-1}$;\\
(D) $\sqrt[3]{2}$.