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Question

The conjugate complex number of 2i(12i)2 is

A
225+1125i
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B
2251125i
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C
225+1125i
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D
2251125i
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Solution

The correct option is D 2251125i
Rationalizing the denominator
2i(12i)2×(1+2i)2(1+2i)2

=(1+2i)2(2i)[12(2i)2]2

=(14+4i)(2i)(1+4)2

(3+4i)(2i)(5)2

=2+11i25

Complex conjugate of a+ib is aib

Hence, the conjugate of 2+11i25=211i25

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