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Complex Numbers: Division
Convert this complex fraction to the form p + q j:
3
---
9 – 2 j
 = + j

tickcross



Worked Solution:

Multiply the numerator and denominator by the complex conjugate of the denominator:
The complex conjugate of 9 – 2 j is 9 + 2 j
(3)(9 + 2 j)
---
(9 – 2 j)(9 + 2 j)
 =
27 + (6) j
---
81 + 4
 =
27 + 6 j
---
85
 =
27
---
85
 +
6
---
85
 j

AS Further Pure Mathematics (MEI Structured Mathematics FP1) Third Edition (2004) pages 50-54
© MEI Produced by Dr Ron Knott, 19 Feb 2004
tom . button [AT] mei . org . uk 		Test reference: ComplexDiv.html?ref=6697