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Mathematics 16 Online
OpenStudy (anonymous):

simplify 3+j2/1-j3

OpenStudy (kropot72):

Multiply both terms by the conjugate of 1-j3 (which is 1 + j3) as a first step.

OpenStudy (asnaseer):

by "both terms" kropot72 means the numerator and the denominator.

OpenStudy (kropot72):

@asnaseer thank you! @khadeejah can you multiply numerator and denominator by 1 + j3 ?

OpenStudy (asnaseer):

@khadeejah do you why kropot72 is asking you to multiply numerator and denominator by the complex conjugate of the denominator?

OpenStudy (kropot72):

When you do the whole expression becomes: 3 +( j2)/10{1 + j3}

OpenStudy (kropot72):

As you can see there is no longer a complex number as a denominator. The expression further simplifies to the following: 3 + j/5 - 3/5 = 1/5(12 - j)

OpenStudy (anonymous):

thank you guys. sry my internet connection failed thats why i went off

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