Home
Class 12
MATHS
Multiply (3sqrt(-7)-5sqrt(-2))(3sqrt(-2)...

Multiply `(3sqrt(-7)-5sqrt(-2))(3sqrt(-2)+5sqrt(-2)`

Text Solution

Verified by Experts

`(3sqrt(-7)-5sqrt(-2))(3sqrt(-2)+5sqrt(-2)`
`=3sqrt(7i)-5sqrt(-2i)(3sqrt(2i)+5sqrt(2i)`
`=i^2(3sqrt7-5sqrt2)(3sqrt2+5sqrt2)`
`=(-1)8sqrt2(3sqrt7-5sqrt2)=-24sqrt(14)+80`
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos
  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

Similar Questions

Explore conceptually related problems

Multiply (sqrt(-1)+sqrt(-1))(a-bsqrt(-1))

Multiply (2 sqrt(-3) +3sqrt(-2) ) by (4sqrt(-3) -5sqrt(-2))

Express with rational denominator (3+2sqrt(-1))/(2-5sqrt(-1))+(3-2sqrt(-1))/(2+5sqrt(-1))

Express with rational denominator (3sqrt(-2)+2(-5))/(3sqrt(-2)-2sqrt(-2))

Multiply (x-(1+sqrt(-3))/2)(x-(1-sqrt(-3))/2)

Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) - sqrt(1-x^2))

intdx/(sqrt(x+1)+sqrt(x+2))

Express with rational denominator (x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(-1^2)))/(x+sqrt(-1))

Differentiate tan^(-1)((sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2)))) w.r.t. cos^(-1)x^(2) .

MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Multiply (2 sqrt(-3) +3sqrt(-2)) by (4sqrt(-3) -5sqrt(-2))

    Text Solution

    |

  2. Multiply (3sqrt(-7)-5sqrt(-2))(3sqrt(-2)+5sqrt(-2)

    Text Solution

    |

  3. Multiply (sqrt(-1)+sqrt(-1))(a-bsqrt(-1))

    Text Solution

    |

  4. Multiply(x-(1+sqrt(-3))/2)(x-(1-sqrt(-3))/2)

    Text Solution

    |

  5. Express with rational denominator1/(3-sqrt(-2))

    Text Solution

    |

  6. Express with rational denominator(3sqrt(-2)+2(-5))/(3sqrt(-2)-2sqrt(-2...

    Text Solution

    |

  7. Express with rational denominator(3+2sqrt(-1))/(2-5sqrt(-1))+(3-2sqrt(...

    Text Solution

    |

  8. Express with rational denominator(a+xsqrt(-1))/(a-xsqrt(-1))-(a-xsqrt(...

    Text Solution

    |

  9. Express with rational denominator(x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(...

    Text Solution

    |

  10. Express with rational denominator((a+sqrt(-1))^3-(a-sqrt(-1))^3)/((a+s...

    Text Solution

    |

  11. Find the value of (-i)^(4n+3),when n is positive.

    Text Solution

    |

  12. Find the square of (a+40i)+sqrt(9-40sqrt(-i))

    Text Solution

    |

  13. Express in the form a+ib:(3+5i)/(2-3i)

    Text Solution

    |

  14. Express in the form a+bi (sqrt3-isqrt2)/(2sqrt3-isqrt3)

    Text Solution

    |

  15. Express in the form ((I+i)^2)/(3-i)

    Text Solution

    |

  16. Express in the form((a+ib)^3)/(a-ib)-((a-ib)^3)/(a+ib)

    Text Solution

    |

  17. Express in the form a+bi (1+i)/(1-i)

    Text Solution

    |

  18. Express the 1 points geometrically in the Argrand plane.

    Text Solution

    |

  19. Express the 3i points geometrically in the Argrand plane.

    Text Solution

    |

  20. Express the -2 points geometrically in the Argrand plane.

    Text Solution

    |