Home
Class 11
MATHS
Show that sqrt3is irrational. (Use the ...

Show that `sqrt3`is irrational. (Use the method of contradiction).

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 8

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • Model Test Set - 1

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

Show that sqrt7 is an irrational, (use the method of contradiction)

Show that 5-sqrt3 is irrational.

Prove that sqrt3 is irrational, (use the method of contradiction)

Prove that sqrt5 is irrational, (use the method of contradiction).

Prove that sqrt2 irrational, (use the method of contradiction).

Show that 3sqrt2 is irrational.

Show that sqrt2 is irrational.

If n is real and n > 3, show that n^2 > 9 (use the method of contradictional).

Prove that sqrt2+sqrt2 is irrational .

If n is a such real number that n>3 .then n^2>9 prove it by the method of contradiction.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

    Text Solution

    |

  2. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

    Text Solution

    |

  3. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

    Text Solution

    |

  4. Find the co-ordinate of the image of the point (-3, -1), with respect ...

    Text Solution

    |

  5. Show that the circle with the portion of the line 3x + 4y = 12 interce...

    Text Solution

    |

  6. Find the equation to the locus of a point whose distance from YZ plane...

    Text Solution

    |

  7. Evaluate the following limits :lim(xrarr0)(xtan2x-2xtanx)/((1-cos2x)^2...

    Text Solution

    |

  8. If f(x)=|x-1|1+x^2.Is f'(x) exist?examine it.

    Text Solution

    |

  9. Using contrapositive method show tha the compund statement .is true or...

    Text Solution

    |

  10. Show that sqrt3is irrational. (Use the method of contradiction).

    Text Solution

    |

  11. If the letters of the word PROBABILITY be arranged at random, find the...

    Text Solution

    |

  12. AM and SD of 7- observations are 8 and 4. If 5.of the 7 observations a...

    Text Solution

    |

  13. Find the maximum and minimum value of 5costheta+12sintheta+12

    Text Solution

    |

  14. Show that the equations,sin^2theta=sin^2alpha,cos^2theta=cos^2alphaand...

    Text Solution

    |

  15. Solve :barz=iz^2(z being a complex number)

    Text Solution

    |

  16. Find the sum of the numbers from 1 to 100 which are not divisible by 3...

    Text Solution

    |

  17. Out of 17 comodities 12 are same type and 5 are different type. Find t...

    Text Solution

    |

  18. Show that the equation of the cord.of the parabola x^2=4aythrough (x1,...

    Text Solution

    |

  19. Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and...

    Text Solution

    |

  20. Find the equation of a hyperbola whose focus. equation of directrix an...

    Text Solution

    |