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The square root of 3+4i is...

The square root of `3+4i` is

A

`sqrt""3 +i`

B

`2 -i`

C

`pm(2+i)`

D

none of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If alpha (1), alpha(2), . . . alpha (100) are all the 100 th roots of...

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  2. If z = ( sqrt(3) + i)/( 2) then ( z^(101) + i ^(103))^(105) equals

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  3. The square root of 3+4i is

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  4. The square root of the number 5 + 12 i is

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  5. The square root of the numbers (- 7 - 24i) is

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  6. (sqrt(5 + 12 i ) + sqrt( 5 - 12 i) ) /(sqrt(5 + 12 i ) - sqrt( 5 - 12 ...

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  7. If ( sqrt(3) + i) ^(100) = 2^(99) (a + ib) , " then " a^(2) + b^(2) i...

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  8. If ( sqrt(3) + i) ^(100) = 2 ^(99) (a + i b) then b =

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  9. If ( sqrt( 3) + i) ^(10) = a + ib then, a and b are respectively

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  10. The solution of the equation (1 + i sqrt(3))^(x) = 2^(x) are in

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  11. If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot

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  12. Sum of sixth power of the roots of the equation t^(2) - 2t + 4 = 0 i...

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  13. (1 + i) ^(8) + (1 - i) ^(8) =

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  14. If [ (sqrt(3) // 2 + (1 //2)i)/(sqrt(3) // 2 - (1//2)i)] ^(120) = a +...

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  15. (-64)^(1//4) is equal to-

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  16. The points representing 3 sqrt(sqrt""5 + isqrt""3) lie

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  17. Given z is a complex number with modulus 1. Then the equation ((1 +...

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  18. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

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  19. ((cos theta + i sin theta)^(4))/( (sin theta + i cos theta)^(5)) is eq...

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  20. If a^(2)+b^(2)=1, prove that (1+b+ia)/(1+b-ia)=b+ia.

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