# Question: 9 let h be the smallest subgroup of q 0...

###### Question details

9. Let H be the smallest subgroup of (**Q**- {0}, ×
), the nonzero rational numbers under multiplication, which
contains both 2^{12} and 2^{21}.

(a) Describe all elements of H (i.e. the entire set H).

(b) is H cyclic?