Home
Class 9
MATHS
Prove that sqrt(3)+\ sqrt(5) is an irrat...

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

Promotional Banner

Topper's Solved these Questions

  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA ENGLISH|Exercise All Questions|140 Videos
  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos

Similar Questions

Explore conceptually related problems

If p ,\ q are prime positive integers, prove that sqrt(p)+sqrt(q) is an irrational number.

prove that sqrt(3)-sqrt(2) is an irrational number.

Prove that sqrt(3)+sqrt(4) is an irrational number.

Prove that sqrt(5) is an irrational number.

Prove that sqrt(3)+sqrt(5) is irrational.

Prove that sqrt(3) is an irrational number.

Prove that sqrt(3) is an irrational number.

Prove that sqrt(3) is an irrational number.

Prove that sqrt(3) is an irrational number.

Prove that sqrt(2) is an irrational number.

RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Find two irrational numbers between 0.5 and 0. 55

    Text Solution

    |

  2. Find two irrational numbers lying between 0. 1\ \ a n d\ \ 0. 12

    Text Solution

    |

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

    Text Solution

    |

  4. Find three different irrational numbers between the rational number...

    Text Solution

    |

  5. Complete the following sentences: (i) Every point on the number line c...

    Text Solution

    |

  6. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  7. Represent sqrt(3. 5) , sqrt(9. 4) , sqrt(10. 5) on the real number lin...

    Text Solution

    |

  8. Find whether the following statements are true or false. (i) Every ...

    Text Solution

    |

  9. Visualise 2. 665 on the number line, using successive magnification.

    Text Solution

    |

  10. Visualise the representation of 5.3bar7on the number line upto 5 decim...

    Text Solution

    |

  11. Which one of the following is a correct statement? </br>Decimal expan...

    Text Solution

    |

  12. Which one of the following statement is true? (i) The sum of two irra...

    Text Solution

    |

  13. Which of the following is a correct statement? (A)Sum of two irratio...

    Text Solution

    |

  14. Which of the following statements is true? product of two irrational n...

    Text Solution

    |

  15. Which of the following is irrational?

    Text Solution

    |

  16. Which of the following is irrational? (a)0. 14 (b) 0. 14 bar(16) (c)...

    Text Solution

    |

  17. Which of the following is rational? sqrt(3) (b) pi (c) 4/0 ...

    Text Solution

    |

  18. The number 0. 318564318564318564... is: (a) natural number (b) a...

    Text Solution

    |

  19. If n is a natural number, then sqrt(n) is:

    Text Solution

    |

  20. Which of the following numbers can be represented as non-terminating, ...

    Text Solution

    |