Q. 3 B4.2( 15 Votes )

Find the value of following expression:

i30 + i80 + i120

Answer :

i30 + i80 + i120 = i(28 + 2) + i80 + i120


= (i4)7 × i2 + (i4)20 + (i4)30


= – 1 + 1 + 1 = 1


[since i4 = 1, i2 = – 1]


i30 + i80 + i120 = 1


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