Divide and simlplify 52i/5+i

Hello! The answer is 11.4i

Have a great weekend!

2+10i

Step-by-step explanation:

You should multiply by the conjugate,

which is 5-i in this problem.

(52i / (5+i)) ((5-i) / (5-i)) = (260i-52i^2) / (25-i^2)

= (260i+52) / 26=[26 (10i+2) ]/26

simplify, the 26's cancel out,

leave you with 10i+2.

Remember that i^2=i*i=-1.