Question

please help me to do this​

Answer 1

Answer:

To make it complex you just need to use 'i' instead of '√-1'

$\frac{9 + \sqrt{ - 1} }{11 - \sqrt{ - 1 } } \\ = \frac{9 + i}{11 - i} \\ = \frac{(9 + i)(11 + i)}{(11 - i)(11 + i)} \\ = \frac{99 + 9i + 11i - 1}{122} \\ = \frac{98 + 20i}{122} \\ = \frac{98}{122} + \frac{20i}{122} \\ = \frac{49}{61} + i \frac{10}{61} \\ now \: it \: is \: in \: the \: complex \: form \: or \\ \:( a + ib) \: form.$