Question

simplify 2/2+5i

2/29

4/29

4+10i/29

4_10i/29

Answer 1

\(\Large \frac{2}{2+5i}=\frac{2(2-5i)}{(2+5i)(2-5i)}=\frac{4-10i}{4-25i^2}\)
\(\Large i^2=-1 \Rightarrow \frac{4-10i}{4-25i^2}=\frac{4-10i}{4+25}=\frac{4-10i}{29}\)