question_answer

If \[{{z}_{1}}=\sqrt{2}\left( \cos \frac{\pi }{4}+i\sin \frac{\pi }{4} \right)\] and \[{{z}_{2}}=\sqrt{3}\left( \cos \frac{\pi }{3}+i\sin \frac{\pi }{3} \right)\], then \[\left| {{z}_{1}}{{z}_{2}} \right|\] is equal to [Note: \[i=\sqrt{-1}\]]

A) 6                                             

B) \[\sqrt{2}+\sqrt{3}\]

C) \[\sqrt{6}\]                        

D) \[\sqrt{5}\]