Home
Class 9
MATHS
Find two irrational numbers lying betwee...

Find two irrational numbers lying between `sqrt(2)\ a n d\ sqrt(3)`

Text Solution

Verified by Experts

We know , both `sqrt2\ and \sqrt3` are irrational number.
So `sqrt2+sqrt3` is also irrational.
Therefore`(sqrt2+sqrt3)/2 \and \(sqrt2+sqrt3)/4` are also irrational number. As ,
`sqrt2<(sqrt2+sqrt3)/4` , `(sqrt2+sqrt3)/2<(sqrt3)`
`(sqrt2+sqrt3)/2 \and \(sqrt2+sqrt3)/4` are two irrational number between `sqrt(2)\ a n d\ sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA|Exercise All Questions|141 Videos
  • PROBABILITY

    RD SHARMA|Exercise All Questions|67 Videos

Similar Questions

Explore conceptually related problems

How many irrational numbers lie between sqrt(2) and sqrt(3) ? Find any three irrational numbers lying between sqrt(2) and sqrt(3) .

Find two irrational numbers lying between 0.1 and 0.12

Find two irrational numbers lying between 0.1 and 0.12

Find two irrational numbers between 3 and 3.5

An irrational number between sqrt(2) and sqrt(3) is .

Write three irrational numbers between sqrt(5) and sqrt(7).

Find a rational number between sqrt2 and sqrt3.

RD SHARMA-NUMBER SYSTEM-All Questions
  1. Insert a rational and an irrational number between 2 and 3.

    Text Solution

    |

  2. Find two irrational number between 2\ a n d\ 2. 5

    Text Solution

    |

  3. Find two irrational numbers lying between sqrt(2)\ a n d\ sqrt(3)

    Text Solution

    |

  4. Find two irrational numbers between 0. 12\ a n d\ 0. 13

    Text Solution

    |

  5. Find two rational numbers between 0. 232332333233332 . . . and 0. 252...

    Text Solution

    |

  6. Find the rational number and also an irrational number between the n...

    Text Solution

    |

  7. Find one irrational number between the number a\ a n d\ b given below:...

    Text Solution

    |

  8. Find three different irrational numbers between the rational numbers...

    Text Solution

    |

  9. Write three numbers whose decimal expansions are non-terminating no...

    Text Solution

    |

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

    Text Solution

    |

  11. Examine, whether the following numbers are rational or irrational: ...

    Text Solution

    |

  12. Define an irrational number.

    Text Solution

    |

  13. Explain, how irrational numbers differ from rational number?

    Text Solution

    |

  14. Examine, whether the following numbers are rational or irrational: ...

    Text Solution

    |

  15. Examine, whether the following numbers are rational or irrational: ...

    Text Solution

    |

  16. Examine, whether the following numbers are rational or irrational: (...

    Text Solution

    |

  17. Examine, whether the following numbers are rational or irrational: (...

    Text Solution

    |

  18. Find decimal expansion of 4/5

    Text Solution

    |

  19. Find decimal expansion of 2/5

    Text Solution

    |

  20. Identify the following as rational or irrational numbers. Give the ...

    Text Solution

    |