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How calculate (1+i)/(3-i)?

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varka | Student, Undergraduate | eNoter

Posted September 25, 2013 at 4:28 PM via web

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How calculate (1+i)/(3-i)?

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llltkl | College Teacher | Valedictorian

Posted September 25, 2013 at 4:48 PM (Answer #1)

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To calculate `(1+i)/(3-i)` first of all rationalize the denominator.

Multiply the numerator and the denominator by `(3+i)` .

`(1+i)/(3-i)*(3+i)/(3+i)`

`=(3+4i+i^2)/(9-i^2)`

`=(2+4i)/10`      (since,` i^2=-1` )

`=0.2+0.4i`

Hence, the required answer is 0.2+0.4i.

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