Question

prove that (1+i)⁴×(1+1/i)⁴=16​

Answer 1

Hope you get your answer.

Answer 2

SOLUTION :

LHS= (1+i)⁴×(1+1/i)⁴

= [(1+i)²]²×[(1-i)²]² [Here, 1/i = i/i² = i/-1 = -i]

= (1-1+2i)²×(1+i²-2i)²

= 4(i)² × 4(i)²

= -4 × (-4)

= 16 = RHS

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