# How do you simplify (2 + i) / ( 5- i )?

Dec 13, 2015

#### Answer:

$\frac{9 + 7 i}{24}$

#### Explanation:

$\frac{a + i}{b - i} \cdot \frac{b + i}{b + i} = \frac{a b + a i + b i - 1}{{b}^{2} + 1}$