JEE Main 202126 Aug, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let z=1−i32z = {{1 - i\sqrt 3 } \over 2}z=21−i3, i=−1i = \sqrt { - 1}i=−1. Then the value of 21+(z+1z)3+(z2+1z2)3+(z3+1z3)3+....+(z21+1z21)321 + {\left( {z + {1 \over z}} \right)^3} + {\left( {{z^2} + {1 \over {{z^2}}}} \right)^3} + {\left( {{z^3} + {1 \over {{z^3}}}} \right)^3} + .... + {\left( {{z^{21}} + {1 \over {{z^{21}}}}} \right)^3}21+(z+z1)3+(z2+z21)3+(z3+z31)3+....+(z21+z211)3 is ______________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
