8−i3−2i If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=√−1)
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Answer:
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Correct option is
A
2
Given expression
3−2i
8−i
Rationalising the denominator, we get
3−2i
8−i
=
(3−2i)(3+2i)
(8−i)(3+2i)
=
(9+4)
(24+16i−3i+2)
=
13
26+13i
=2+i
Hence, a=2
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