Posted by **Jon** on Tuesday, February 19, 2008 at 12:51pm.

Simplify: (1+i)/(2-i)

A)(1/3)+(2/3i)

B)(1/5)+(2/5i)

C)(1/3)+(i)

D)(1/5)+(3/5i)

I have no clue please explain

- math -
**Reiny**, Tuesday, February 19, 2008 at 12:56pm
similar to "rationalizing the denominator"

Multiply top and bottom by 2+i and remember that i^2 = -1

(1+i)/(2-i) x (2+i)/(2+i)

= (2+i+2i+i^2)/(4-i^2)

= (2+3i-1)/(4-(-1))

= (1+3i)/5

- math -
**Reiny**, Tuesday, February 19, 2008 at 12:58pm
btw, the choice that fits my answer would be D, they simply split it into 2 parts.

I don't know why they would do that

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