Home
Class 12
MATHS
Simplify (sqrt(3)+i)^(8)...

Simplify
`(sqrt(3)+i)^(8)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.1|6 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.2|9 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

Simplify : 1/(2+sqrt3) + (3)/(4-sqrt5) + 6/(7-sqrt8)

Simplify (1)/(2+sqrt3)+(3)/(4-sqrt5)+(6)/(7-sqrt8) .

Simplify (i) (1 + i)^(18) " " (ii) (-sqrt(3) + 3i)^(31)

Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))

Simplify (1)/(3 - sqrt(8)) - (1)/(sqrt(8) - sqrt(7)) + (1)/(sqrt(7) - sqrt(6)) - (1)/(sqrt(6) - sqrt(5)) + (1)/(sqrt(5) - 2)

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. Simplify (sqrt(3)+i)^(8)

    Text Solution

    |

  2. If (1-i)/(1+i) is a root of the equation ax^(2)+bx+1=0. Where a, b...

    Text Solution

    |

  3. If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+om...

    Text Solution

    |

  4. The arguments of the roots of a complex number differ by :

    Text Solution

    |

  5. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  6. The number of values of (costheta+isintheta)^(p//q) where p and q are ...

    Text Solution

    |

  7. If -i+3 is a root of x^(2)-6x+k=0. Then the value of k is :

    Text Solution

    |

  8. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  9. The value of ((-1 + isqrt3)/(2))^(100) + ((-1-isqrt3)/(2))^(100) is :

    Text Solution

    |

  10. The principal value of arg(z) lies in the interval :

    Text Solution

    |

  11. If -barz lies in the third quadrant then z lies in the :

    Text Solution

    |

  12. If P is ((1)/(2)+i(sqrt(3))/(2)) and OP is rotated through an angle (p...

    Text Solution

    |

  13. If the amplitude of a complex number is (pi)/(2) then the number is :

    Text Solution

    |

  14. If A+iB=(a(1)+ib(1))(a(2)+ib(2))(a(3)+ib(3)) then A^(2)+B^(2) is :

    Text Solution

    |

  15. The points z(1)z(2)z(3)z(4) in the complex plane are the vertices of a...

    Text Solution

    |

  16. If omega is the cube root of unity, then then value of (1 - omega) (1 ...

    Text Solution

    |

  17. Find the correct statement : The cube roots of unity are :

    Text Solution

    |

  18. Which of the following is incorrect.?

    Text Solution

    |

  19. Which of the following is incorrect ?

    Text Solution

    |

  20. Which of the following is incorrect ?

    Text Solution

    |

  21. Which of the following is correct statement ?

    Text Solution

    |