Question

Please simplify the imaginary number equation in standard a+bi form and explain your work. Can you divide 6 by 3i, even tho one is imaginary and one is not? I missed class today so I’m completely lost. Thanks! 20 points!

Answer 1

Answer: " Yes; you can! "
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Note:
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From both the numerator and denominator, we can factor out a "3";

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→ "
`(6 + 9i)/(3i) =(3(2+3i))/(3(i))` ;

→ Now, we can cancel out the "3's " ; in both the numerator and denominator; since: "3÷3 = 1 " ;

and we can rewrite the expression as:
→ "
`(2+3i)/(i)` " .