Find the values of the expressions  i5 + i10 + i15

Find the values of the expressions  i5 + i10 + i15

Asked by Sakshi | 1 year ago |  73
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Class 11 Maths Complex Numbers and Quadratic Equations         Add Answer

1 Answer

Solution :-

i5 + i10 + i15

Let us simplify we get,

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

i5 + i10 + i15 = -1

Answered by Aaryan | 1 year ago
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