SOLUTION: Find the quotient and express the answer in the standard form of a complex number. 2/3i

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Question 165356: Find the quotient and express the answer in the standard form of a complex number. 2/3i
Found 2 solutions by HyperBrain, Alan3354:
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Crash lesson: The conjugate of a complex number a+bi is the complex number a-bi.
2%2F%283i%29
Take note that 3i is a complex number. It can be expressed in the form 0+3i.
2/3i is not in simplest form because the denominator is not rational. We must rationalize the denominator.
To rationalize the denominator of a fraction, multiply the numerator and the denominator of the fraction by the conjugate of the denominator.
2%2F%283i%29=%282%2F%280%2B3i%29%29%28%280-3i%29%2F%280-3i%29%29=+-6i>>>Answer

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HyperBrain!

Answer by Alan3354(21584) About Me  (Show Source):
You can put this solution on YOUR website!
Find the quotient and express the answer in the standard form of a complex number. 2/3i
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Multiply NUM and DEN by i.
2/3i
=2i/(-3)
= -2i/3