Question

Simplify the expression square root of -1 over (3+8i) - (2+5i)

Answer 1

$\frac{i}{(3 \: + \: 8i) \: - \: (2 \: + \: 5i)} \: = \: \frac{i}{1 \: + \: 3i} \: = \: \frac{i}{1 \: + \: 3 i} \: \times \: \frac{1 \: - \: 3i}{1 \: - \: 3i} \: = \: \frac{i \: + \: 3}{1 \: + \: 9} \: = \: \frac{3 \: + \: i}{10}$A) (3 + i)/10