Q:

Which of these is a complex number? A. B. C. D.

Accepted Solution

A:
Answer:option D[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]Step-by-step explanation:Given in the question are 4 number 5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]2 - [tex]\frac{1}{\sqrt{11} }[/tex]9 + [tex]3\sqrt{\frac{5}{2} }[/tex][tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]A Complex Number is a combination of a Real Number and an Imaginary NumberExample a + ibwhere a is real number             b is imaginary number             i is 'lota' which is √-1So according to the definition above [tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which [tex]\frac{8}{3}[/tex] is real part [tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part