Simplify the given expression below:

4 divided by the quantity of 3 minus 2i

Question

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

prince1342 · Answer

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

mathstudent55 · Answer

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mathstudent55 · Answer

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.

prince1342 · Answer

so 4 times 3?

mathstudent55 · Answer

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

prince1342 · Answer

no

mathstudent55 · Answer

For complex number $a + bi$, the complex conjugate is $a - bi$.

mathstudent55 · Answer

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.

prince1342 · Answer

so its opposite sign?

mathstudent55 · Answer

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