Home
Class 11
MATHS
Express each of the following in the for...

Express each of the following in the form `a+i b :(-sqrt(3)+\ sqrt(-2))(2sqrt(3)-i)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Express the following in the standard form a+i b :1/(-2+sqrt(-3))

Express the following in the form a+ib: sqrt(3)+(3-i2)-(3-i2)

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

Express the following in the standard form a+i b :((3+isqrt(5))(3-isqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-isqrt(2))) .

Express the following in the form a + i b (i) (5+sqrt(2i))/(1-sqrt(2i)) (ii) i^(-35)

Express the following expression in the form of a + i b ((3+isqrt(5))(3-isqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-isqrt(2)))

Express in the form of a+ib: (sqrt3 - isqrt2)/(2sqrt3-isqrt3)

Express the following in the form a+bi (sqrt3 + 5i) (sqrt3 -5i)^(2) + (-4+ 5i)^(2)

Evaluate: sqrt(-2+2sqrt(3)i)

Express each one of the following with rational denominator: (i) (sqrt(3)+\ 1)/(2sqrt(2)-\ sqrt(3)) (ii) (6-4sqrt(2))/(6+4sqrt(2))

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Express each of the following in the form a+i b :(5-3i)^3

    Text Solution

    |

  2. Express each of the following in the form a+i b :(-2-1/3i)^3

    Text Solution

    |

  3. Express each of the following in the form a+i b :(-sqrt(3)+\ sqrt(-2))...

    Text Solution

    |

  4. Express the following in the standard form a+i b :1/(3-4i)

    Text Solution

    |

  5. Express the following in the standard form a+i b :((3-2i)(2+3i))/((1+2...

    Text Solution

    |

  6. Express the following in the standard form a+i b :(5+4i)/(4+5i)

    Text Solution

    |

  7. Express the following in the standard form a+i b :1/(-2+sqrt(-3))

    Text Solution

    |

  8. Express the following in the standard form a+i b :((3+isqrt(5))(3-isqr...

    Text Solution

    |

  9. Express the following in the standard form a+i b :((1+i)^2)/(3-i)

    Text Solution

    |

  10. Express the following in the standard form a+i b :(1/(1-2i)+3/(1+i))((...

    Text Solution

    |

  11. Express the following in the standard form a+i b :1/(1-costheta+2i sin...

    Text Solution

    |

  12. Express (1-2i)^(-3) in the standard form a+i bdot

    Text Solution

    |

  13. Perform the indicated operation and find the result in the form a+i b ...

    Text Solution

    |

  14. Perform the indicated operation and find the result in the form a+i b ...

    Text Solution

    |

  15. Multiply 3-2i by its conjugate.

    Text Solution

    |

  16. Find the real numbers x\ a n d\ y , if (x-i y)(3+5i) is the conjugate ...

    Text Solution

    |

  17. Find the multiplicative inverse of the complex number: 3+2i

    Text Solution

    |

  18. Find the multiplicative inverse of the following complex number: (2+sq...

    Text Solution

    |

  19. If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...

    Text Solution

    |

  20. If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...

    Text Solution

    |