Respuesta :
Multiply numerator and denominator by the complex conjugate.
1/6+5i =(1/6+5i)*(6-5i/6-5i)
1/6+5i = (6-51/36-30i+30i-25i²)1/6+5i = (6-5i/36+25)
1/6+5i = (6-5i/61)
1/6+5i = 6/61-(5/61)*i
1/6+5i =(1/6+5i)*(6-5i/6-5i)
1/6+5i = (6-51/36-30i+30i-25i²)1/6+5i = (6-5i/36+25)
1/6+5i = (6-5i/61)
1/6+5i = 6/61-(5/61)*i
Answer:
1/6+5i =(1/6+5i)*(6-5i/6-5i)
1/6+5i = (6-51/36-30i+30i-25i²)1/6+5i = (6-5i/36+25)
1/6+5i = (6-5i/61)
1/6+5i = 6/61-(5/61)*i