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Prove that [((3+2i)/(2-5i))+ ((3-2i)/(2+...

Prove that `[((3+2i)/(2-5i))+ ((3-2i)/(2+5i))]` is rational

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ICSE-COMPLEX NUMBERS-Exercise (B)
  1. Simiplify : ((1+i)/(1-i))^(4n+1) (n is a positive integer)

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  2. Simiplify : (sqrt((5+12i)) + sqrt((5-12i)))/(sqrt((5+12i))-sqrt((5-12...

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  3. Prove that [((3+2i)/(2-5i))+ ((3-2i)/(2+5i))] is rational

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  4. Show that (1+ 2i)/(3+4i) xx (1-2i)/(3-4i) is real

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  5. Perform the indicated operation and give your answer in the form x+yi,...

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  6. Perform the indicated operation and give your answer in the form x+yi,...

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  7. Perform the indicated operation and give your answer in the form x+yi,...

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  8. Perform the indicated operation and give your answer in the form x+yi,...

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  9. Perform the indicated operation and give your answer in the form x+yi,...

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  10. If x+ yi= (u+ vi)/(u-yi), prove that x^(2) + y^(2)=1

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  11. Prove that : [4 + 3 sqrt(-20)]^((1)/(2)) + [4 -3 sqrt(-20)]^((1)/(2))...

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  12. Express the following in the form a+ bi sqrt((5(2+i))/(2-i))

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  13. Express the following in the form a+ bi ((3-i)^(2))/(2+i)

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  14. Express the following in the form a+ bi (1+i)^(-3)

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  15. Express the following in the form a+ bi ((4i^(3)-i)^(2))/(2i+1)

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  16. Express the following in the form a+ bi (i-1)/(i+1)

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  17. Express the following in the form a+ bi (2+i)/((3-i)(1+2i))

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  18. Express the following in the form a+ bi (5)/(2i-7i^(2))

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  19. Prove that ((-1 + isqrt3)/(2))^(3) is a positive integer

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  20. If one of the values of x of the equation 2x^(2)-6x + k= 0 " be " (1)/...

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