Write the real and imaginary parts of the following
(i) `-2sqrt(2)i`
(ii) `(-1)/(5)+(i)/(5)`
(iii) `sqrt(3)+(sqrt(2))/(76)i`

Answer

To find the real and imaginary parts of the given complex numbers, we will analyze each part step by step.

### Solution:

**(i)** For the complex number \(-2\sqrt{2}i\):

1. Identify the real and imaginary components:
- The number is in the form \(A + Bi\), where \(A\) is the real part and \(B\) is the coefficient of \(i\) (the imaginary part).
- Here, there is no real part (the coefficient of \(1\) is \(0\)), and the imaginary part is \(-2\sqrt{2}\).

2. Write the results:
- Real part: \(0\)
- Imaginary part: \(-2\sqrt{2}\)

**(ii)** For the complex number \(\frac{-1}{5} + \frac{i}{5}\):

1. Identify the real and imaginary components:
- Here, \(A = \frac{-1}{5}\) and \(B = \frac{1}{5}\).
- The real part is \(-\frac{1}{5}\) and the imaginary part is \(\frac{1}{5}\).

2. Write the results:
- Real part: \(-\frac{1}{5}\)
- Imaginary part: \(\frac{1}{5}\)

**(iii)** For the complex number \(\sqrt{3} + \frac{\sqrt{2}}{76}i\):

1. Identify the real and imaginary components:
- Here, \(A = \sqrt{3}\) and \(B = \frac{\sqrt{2}}{76}\).
- The real part is \(\sqrt{3}\) and the imaginary part is \(\frac{\sqrt{2}}{76}\).

2. Write the results:
- Real part: \(\sqrt{3}\)
- Imaginary part: \(\frac{\sqrt{2}}{76}\)

### Final Results:
- (i) Real part: \(0\), Imaginary part: \(-2\sqrt{2}\)
- (ii) Real part: \(-\frac{1}{5}\), Imaginary part: \(\frac{1}{5}\)
- (iii) Real part: \(\sqrt{3}\), Imaginary part: \(\frac{\sqrt{2}}{76}\)