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

Verified by Experts

Given that,
`(-sqrt(3)+\ sqrt(-2))(2sqrt(3)-i)`
`=(-sqrt(3)+\ sqrt(2)i)(2sqrt(3)-i)` [since `sqrt(-1)=i`]
`=(-2) times 3 + sqrt3 i +2isqrt6+sqrt2`
...
Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos

  • DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|236 Videos

Similar Questions

Explore conceptually related problems

(-sqrt3 + sqrt(-2))(2sqrt3-i)

(-sqrt3 + sqrt(-2))(2sqrt3 - i)

Express the following in the form of a+ib: (-sqrt3+sqrt(-2))(2sqrt3-i)

Express each of the following in the form (a + ib) : {:((i),(3+sqrt(-5))(3-sqrt(-5)),(ii),(-2+sqrt(-3))(-3 + 2 sqrt(-3))),((iii),(-2+3i)^(2),(iv),(sqrt(5)-7i)^(2)):}

Express as a+ib(-sqrt(3)+sqrt(-2))(2sqrt(3)-i)

Express each one of the following in the standard form a+ib:((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2)))

Express in the form a+ib : (sqrt(3)-i sqrt(2))/(2sqrt(3)-i sqrt(3))

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

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

(sqrt(3)-i sqrt(2))/(2sqrt(3)-i sqrt(2))

RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Express each of the following in the form a+i b :(5-3i)^2

    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

    |