# Prove that (1 + i10 + i20 + i30) is a real number.

L.H.S = (1 + i10 + i20 + i30)

= (1 + + )

since = 1

= i

= -1

= 1 +

= 1 + -1 +1 + -1

= 0, which is a real no.

Hence, (1 + i10 + i20 + i30) is a real number.

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