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Write the following as complex numbers :...

Write the following as complex numbers :
`sqrt x, (x > 0)`.

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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Show that (-sqrt(-1))^(4n+3)=i, where n is a positive integer.

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  2. Write the following as complex numbers : sqrt(-27).

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  3. Write the following as complex numbers : sqrt x, (x > 0).

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  4. Write the following as complex numbers : 1+sqrt (-1).

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  5. Write the following as complex numbers : 4-sqrt (-5).

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  6. Write the following as complex numbers : sqrt 3/2- (sqrt (-2))/7.

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  7. Write the real and imaginary parts of the following complex numbers : ...

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  8. Write the real and imaginary parts of the following complex numbers : ...

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  9. Write the real and imaginary parts of the following complex numbers : ...

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  10. Write the real and imaginary parts of the following complex numbers : ...

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  11. Write the real and imaginary parts of the following complex numbers : ...

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  12. Write the real and imaginary parts of the following complex numbers : ...

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  13. Write the real and imaginary parts of the following complex numbers : ...

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  14. Write the real and imaginary parts of the following complex numbers : ...

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  15. Find real numbers x and y such that 3x +2iy-ix+5y =7 +5i.

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  16. Find x and y such that 2x + 4iy and 2i represent the same complex numb...

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  17. Find x and y, if (3y - 2) +i(7-2x) = 0.

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  18. Find the values of x and y if : 3x + (2x-y)i= 6-3i.

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  19. Find the values of x and y if : 3x +5iy = 5i.

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  20. Find the values of x and y if : 4x +i (3x-y)=3+i (-6).

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