If $z=i(1+\sqrt{3})$, then $z^4+2 z^3+4 z^2+5$ is equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

z=i(1+\sqrt{3})

, then

z^4+2 z^3+4 z^2+5

is equal to

View answer and explanation

Correct option: A

Option A (5) is correct because by substituting z = 2ω into the expression and using the properties of cube roots of unity, the expression simplifies to 5.

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