simplify 2/(5+i)

Solution

simplify

\frac{2}{5 + i}

\frac{5}{13} - \frac{1}{13} i

Solution steps

\frac{2}{5 + i}

Multiply by the conjugate

\frac{5 - i}{5 - i}

= \frac{2 ( 5 - i )}{( 5 + i ) ( 5 - i )}

Simplify

\frac{2 ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{10 - 2 i}{26}

= \frac{10 - 2 i}{26}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{10}{26} + \frac{- 2}{26} i

Simplify

\frac{10}{26} + \frac{- 2}{26} i : \frac{5}{13} - \frac{1}{13} i

= \frac{5}{13} - \frac{1}{13} i

- 1.2 \leq x \leq 2

3 (t + 4) - 2 (2 t + 3) = - 4

(64 b)^{\frac{3}{4}}

\frac{40}{10}

\frac{12 x ^{2} y ^{3} z}{21 y ^{4} z ^{3}}