Question 670496
{{{(1+3i)/(2+3i)}}}
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{{{((1+3i)/(2+3i))((2-3i)/(2-3i))}}}
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Denominator
Foil
(2-3i)(2+3i) = {{{4 + 3i - 3i - 9i^2}}}
i = {{{sqrt(-1)}}}, {{{i^2 = sqrt(-1)^2 = -1}}}
4-9(-1) = 4+9 = 13
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Numerator
Foil
(1+3i)(2-3i) = {{{2 - 3i + 6i - 9i^2}}}
2 + 3i + 9 = 3i + 11
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{{{highlight_green((3i+11)/13)}}}
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