Home
Class 12
MATHS
Simplify 20/(sqrt3-sqrt(-2))+30/(3sqrt(-...

Simplify `20/(sqrt3-sqrt(-2))+30/(3sqrt(-2)-2sqrt3)-14/(2sqrt3-sqrt(-2))` in the form A+iB.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

Simplify (20)/(sqrt3-sqrt(-2))+(30)/(3 sqrt(-2)-2sqrt3)-(14)/(2 sqrt3- sqrt(-2))

Simplify: sqrt(3-2sqrt(2))

Simplify sqrt(3+2sqrt(2))

Simplify (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))

Simplify (sqrt(3)+sqrt(2))/(sqrt(5)-sqrt(2))

Simplify (sqrt(3)+2)(sqrt(3)-2)

Simplify : sqrt(3+2sqrt(2))

Simplify (sqrt(3)+sqrt(2))(sqrt(2)-sqrt(3))

Simplify (sqrt3+2)^2-(sqrt3-2)^2

Simplify (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. if z=(3-4i)/((4-2i)(1+i) then find Re(z).

    Text Solution

    |

  2. IF frac(sinfrac(x)(2)+cosfrac(x)(2)+itanfrac(x)(2))(1+2isinfrac(x)(2) ...

    Text Solution

    |

  3. Simplify 20/(sqrt3-sqrt(-2))+30/(3sqrt(-2)-2sqrt3)-14/(2sqrt3-sqrt(-2)...

    Text Solution

    |

  4. Find all values of theta for which (1-isintheta)/(1+icostheta) is pur...

    Text Solution

    |

  5. Find the real values of x\ a n d\ y ,\ if:(3m-2i)(2+i)^2=10(1+i)

    Text Solution

    |

  6. (x+i y)(2-3i)=4+i

    Text Solution

    |

  7. Find all complex numbers z for which (z-2)/(z+2) is purely imaginary.

    Text Solution

    |

  8. Find the real value of x and y if ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)...

    Text Solution

    |

  9. If z1=-3+ixy,z2=x+y+4i and z1=barz2 then find x and y .

    Text Solution

    |

  10. Evaluate: [i^19+(1/i)^25]^2

    Text Solution

    |

  11. Evaluate (i^17-1/i^34)^3 .

    Text Solution

    |

  12. If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...

    Text Solution

    |

  13. Prove that (1+i)^(2n)+(1-i)^(2n)= 0 if n is an odd integer and, equal ...

    Text Solution

    |

  14. If x=sqrt(-2)-1 find he value of x^4+4x^3+6x^2+4x+9

    Text Solution

    |

  15. If a=(1+i)/sqrt(2) find the value of a^6+a^4+a^2+1

    Text Solution

    |

  16. If sqrt(a-ib)= x-iy , prove that sqrt(a+ib)=x+iy.

    Text Solution

    |

  17. If root(3)(a+ib) = x + iy, prove that : root(3)(a-ib) = x- iy .

    Text Solution

    |

  18. (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

    Text Solution

    |

  19. Express (1+a^2)(1+b^2) as the sum of two squares.

    Text Solution

    |

  20. If sqrt 7-24i =x+iy and x=+-4,y=+-3 then sqrt 7-24i=?

    Text Solution

    |