Evaluate the (i77 + i70 + i87 + i414)3

Asked by Aaryan | 1 year ago |  106

##### Solution :-

(i77 + i70 + i87 + i414)3

Let us simplify we get,

(i77 + i70 + i87 + i414)= (i(76 + 1) + i(68 + 2) + i(84 + 3) + i(412 + 2))3

= (i + i2 + i3 + i2)3 [since i3 = – i, i2 = – 1]

= (i + (– 1) + (– i) + (– 1))3

= (– 2)3

= – 8

Answered by Aaryan | 1 year ago

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