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The continued product of the cube roots ...

The continued product of the cube roots of `3+sqrt(3) i` is

A

3

B

-3

C

`3+sqrt(3) i`

D

`3-sqrt(3) i`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  3. The continued product of the cube roots of 3+sqrt(3) i is

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  4. The continued product of the fourth roots of -1+i sqrt(3) is

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  5. If one of the square roots of sqrt(3)-i is sqrt(2) cis (-(pi)/(12)) th...

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  6. If one of the cube roots of i is cis (pi)/(6) the other two roots are

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  7. sqrt(i)+sqrt((-i)) equals :

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  8. If the fourth roots of unity are z(1), z(2), z(3), z(4) then z(1)^(2)+...

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  9. If alpha and beta are non real cube roots of unity then alpha beta+alp...

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  10. The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

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  11. ((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

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  12. If i=sqrt(-1), omega is a non real cube root of unity then ((1+i)^(2 ...

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  13. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

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  14. The value of (i)^(i) is

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  15. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

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  16. If a=cis alpha , b= cis beta, c= cis gamma and (a)/(b)+(b)/(c)+(c)/(a...

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  17. If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+...

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  18. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

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  19. tan [i log ((a-i b)/(a+i b))]=

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  20. If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

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