SOLUTION: Hello,
I could use some help with this problem.
Simplify the expression.
(6 - <i>i</i>) / (2 + 3<i>i</i>)
Thank you!
Algebra ->
Radicals
-> SOLUTION: Hello,
I could use some help with this problem.
Simplify the expression.
(6 - <i>i</i>) / (2 + 3<i>i</i>)
Thank you!
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You can put this solution on YOUR website! The idea behind simplifying expressions containing complex numbers in their denominator, such as you have here, is to change the denominator into a "real" number.
You do this by multiplying the top and bottom of your expression by the complex conjugate of the denominator.
The conjugate of a complex number (a+bi) is simply (a-bi), so, in your problem,... The denominator is the complex number (2+3i) and its conjugate is (2-3i), so let's proceed... ...as you can see, we are really multiplying your original expression by and so its value does not change.
Let's perform the indicated multiplication using the FOIL method. Simplifying all of this and recalling that , we get: =
(