Algebra
posted by Emma .
Write the expression as a complex number in standard form.
____5____
2 i
=2+5i
Did I get the right answer?

5 / ( 2  i ) Multiply Numerator and Denominator by 2 + i
5 ( 2 + i ) / ( ( 2  i ) ( 2 + i ) ) =
5 ( 2 + i ) / ( 4  2 i + 2 i  i ^ 2 ) =
5 ( 2 + i ) / ( ( 4  (  1 ) ) =
5 ( 2 + i ) / ( 4 + 1 ) =
5 ( 2 + i ) / 5 = 2 + i
5 / ( 2  i ) = 2 + i