Q. 25.0( 3 Votes )

Evaluate (i57 + i70 + i91 + i101 + i104).

Answer :

we have, i57 + i70 + i91 + i101 + i104

= (i4)14.i + (i4)17.i2 + (i4)22.i3 + (i4)25.i + (i4)26


We know that, i4 = 1


(1)14.i + (1)17.i2 + (1)22.i3 + (1)25.i + (1)26


= i + i2 + i3 + i +1


= i -1 -i + i +1


= i


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