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Perform the following by the indicated o...

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers `i = sqrt(-1)` :
`(1+i)/(3+i)`.

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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Perform the following by the indicated operations. Express the result ...

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  2. Perform the following by the indicated operations. Express the result ...

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  3. Perform the following by the indicated operations. Express the result ...

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  4. Perform the following by the indicated operations. Express the result ...

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  5. Perform the following by the indicated operations. Express the result ...

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  6. Perform the following by the indicated operations. Express the result ...

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  7. Perform the following by the indicated operations. Express the result ...

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  8. Perform the following by the indicated operations. Express the result ...

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  9. Perform the following by the indicated operations. Express the result ...

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  10. Perform the following by the indicated operations. Express the result ...

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  11. Perform the following by the indicated operations. Express the result ...

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  12. Perform the following by the indicated operations. Express the result ...

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  13. Perform the following by the indicated operations. Express the result ...

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  14. Perform the following by the indicated operations. Express the result ...

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  15. Perform the following by the indicated operations. Express the result ...

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  16. Simplify : (sqrt5+7i)(sqrt5-7i)^3.

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  17. Simplify : (1+i)(2+3i)(3+4i)(4+5i).

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  18. Simplify : (1+i^2) +i^4+i^6.

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  19. Prove that [(sqrt7+i sqrt3)/(sqrt7-i sqrt3)+(sqrt7-i sqrt3)/ (sqrt7+i ...

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  20. Compute : sqrt(-49)(2+sqrt(-9)).

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