Question

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

Answer 1

Answer:

option D

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - $\frac{9}{\sqrt{7} }$

2 - $\frac{1}{\sqrt{11} }$

9 + $3\sqrt{\frac{5}{2} }$

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

A Complex Number is a combination of a Real Number and an Imaginary Number

Example

a + ib

where a is real number

            b is imaginary number

            i is 'lota' which is √-1

So according to the definition above

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$ is complex number in which

$\frac{8}{3}$ is real part

$\sqrt{\frac{7}{3} } \sqrt{-1}$ = $\sqrt{\frac{7}{3} } i$ is the imaginary part