STATEMENT-1 : z_1 ^2 + z_2 ^2 + z_3 ^2 + z_4 ^2 = 0 where z_1 , z_2 , z_3 and z_4 are the fourth roots of unity. and STATEMENT-2 : (1)^(1/4) = (cos0° + i sin0°)^(1/4) .


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Question Number 21111 by Tinkutara last updated on 13/Sep/17

$STATEMENT - 1 : z_{1}^{2} + z_{2}^{2} + z_{3}^{2} + z_{4}^{2} =$ $0 where z_{1}, z_{2}, z_{3} and z_{4} are the fourth$ $roots of unity .$ $and$ $STATEMENT - 2 : {(1)}^{\frac{1}{4}} = (\cos 0 ° +$ ${i \sin 0 °)}^{\frac{1}{4}} .$
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