Q. 3 D4.6( 14 Votes )

Find the value of following expression:

i5 + i10 + i15

Answer :

i5 + i10 + i15 = i(4 + 1) + i(8 + 2) + i(12 + 3)


= (i4)1×i + (i4)2×i2 + (i4)3×i3


= (i4)1×i + (i4)2×i2 + (i4)3×i2×i


= 1×i + 1×(– 1) + 1×(– 1)×i


= i – 1 – i = – 1


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