Home
Class 10
MATHS
Prove that 3+sqrt5 is an irrational numb...

Prove that `3+sqrt5` is an irrational number.

Promotional Banner

Topper's Solved these Questions

  • PRACTICE QUESTION PAPER 13

    CPC CAMBRIDGE PUBLICATION|Exercise ANSWER THE FOLLOWING QUESTIONS|34 Videos
  • PRACTICE QUESTION PAPER 12

    CPC CAMBRIDGE PUBLICATION|Exercise ANSWER THE FOLLOWING QUESTION|32 Videos
  • PROBABILITY

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 14. 2 (OPTIONAL)|5 Videos

Similar Questions

Explore conceptually related problems

Prove that 3+2sqrt(5) is an irrational number .

Prove that sqrt(5) is an irrational number.

Prove that 2+sqrt(5) is an irrational number.

Prove that 5+sqrt3 is an irrational number.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that 3+2sqrt5 is irrational.

Prove that 7+sqrt(5) is irrational .

Prove that sqrt(75) is irrational.

Prove that sqrt2+sqrt2 is irrational .

Prove that sqrt(3) +sqrt(2) is an irrational number.

CPC CAMBRIDGE PUBLICATION-PRACTICE QUESTION PAPER 13-ANSWER THE FOLLOWING QUESTIONS
  1. Draw a circle of radius 4 cm and construct a pair of tangents such tha...

    Text Solution

    |

  2. Find the co - ordinates of points which divides the line segment joini...

    Text Solution

    |

  3. Prove that 3+sqrt5 is an irrational number.

    Text Solution

    |

  4. Solve 2x^(2)-5x+3 = 0 by using formula.

    Text Solution

    |

  5. The length of a rectangular field is 3 time its breadth . If the area ...

    Text Solution

    |

  6. If sin theta = (12)/(13) find the values of cos theta and tantheta. " ...

    Text Solution

    |

  7. If sqrt3 tan theta = 1 and theta is acute, find the value of sin 3 the...

    Text Solution

    |

  8. Prove that ((1+cos theta)/(1-cos theta))=("cosec"theta + "cot"theta)^(...

    Text Solution

    |

  9. A cubical die numbered from 1 to 6 are rolled twice . Find the probabi...

    Text Solution

    |

  10. The radii of two circular ends of a frustum of a cone shaped dustbin a...

    Text Solution

    |

  11. Prove that "the lengths of tangents drawn from an external points to a...

    Text Solution

    |

  12. In the given figure PQ & RS are two parallel tangents to a circle o an...

    Text Solution

    |

  13. Calculate the median of the following frequency distribution tabel :

    Text Solution

    |

  14. Calculate the mode for the following frequency distribution table

    Text Solution

    |

  15. The seventh term of an arithmetic progression is four times itss secon...

    Text Solution

    |

  16. A line segment is divided into four parts forming an arithmetic progre...

    Text Solution

    |

  17. The vertices of a Delta ABC are A(-3,2) . B (-1,-4) and C(5,2) . If M ...

    Text Solution

    |

  18. The vertices of a Delta ABC are A(-5,-1) B(3.-5) , C-(5.2).Show that t...

    Text Solution

    |

  19. Find the sol.n of the following pair of linear by the graphical method...

    Text Solution

    |

  20. The angle of elevation of the top of a tower from two points at a dist...

    Text Solution

    |