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Mathematics 10 Online
OpenStudy (prince1342):

Simplify the given expression below: 4 divided by the quantity of 3 minus 2i

OpenStudy (prince1342):

four thirteenths sixteen thirteenths the quantity of 12 plus 8i, divided by 13 the quantity of 12 minus 8i, divided by 13

OpenStudy (mathstudent55):

|dw:1466524403978:dw|

OpenStudy (mathstudent55):

To simplify this expression, you must multiply it by a fraction which is the conjugate of the denominator over itself. Try it and show what you get.

OpenStudy (prince1342):

so 4 times 3?

OpenStudy (mathstudent55):

Do you know what the complex conjugate of a complex number is?

OpenStudy (prince1342):

no

OpenStudy (mathstudent55):

For complex number \(a + bi\), the complex conjugate is \(a - bi\).

OpenStudy (mathstudent55):

When you have a complex number which is the sum of a real part and an imaginary part, the complex conjugate of that number is obtained by simply changing the sign of the imaginary part.

OpenStudy (prince1342):

so its opposite sign?

OpenStudy (mathstudent55):

|dw:1466524631253:dw|

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