Home
Class 9
MATHS
Are the square root of all positive inte...

Are the square root of all positive integers irrational ? If no, give an example of the square root of a number that is a rational numebr.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Are the square roots of all positive irrational? If no, give examples.

Are the cube roots of all positive irrational? If no, give examples.

Find the square root of i .

Find the square root of : 729

Find the square root of 1+i .

Find the square root of : 1296

The square root of 0.04 will be :

Give an example of two irrational numbers whose difference is a rational number.

PSEB-NUMBER SYSTEMS-EXAMPLE
  1. Are the square root of all positive integers irrational ? If no, give ...

    Text Solution

    |

  2. Is the following statement true of false? Give reasons for your answer...

    Text Solution

    |

  3. Is the following statement true of false? Give reasons for your answer...

    Text Solution

    |

  4. Is the following statement true of false? Give reasons for your answer...

    Text Solution

    |

  5. Find five rational numbers between 1 and 2. We can approach this probl...

    Text Solution

    |

  6. Locate sqrt2 on the number line.

    Text Solution

    |

  7. Locate sqrt3 on the number line.

    Text Solution

    |

  8. Find the decimal expansions of 10/3,7/8 and 1/7 .

    Text Solution

    |

  9. Show that 3.142678 is a rational number. In other words, express 3.142...

    Text Solution

    |

  10. Show that 0.3333... =0.bar3 can be expressed in the form p/q, where p ...

    Text Solution

    |

  11. Show that 1.272727... =1.bar27 can be expressed in the form p/q , wher...

    Text Solution

    |

  12. Show that 0.2353535... = 0.2bar35 can be expressed in the form p/q, w...

    Text Solution

    |

  13. Find an irrational number between 1/7 and 2/7.

    Text Solution

    |

  14. Check whether 7sqrt5, 7/sqrt5, sqrt2+21, pi-2 are irrational numbers o...

    Text Solution

    |

  15. Add 2sqrt2+ 5sqrt3 and sqrt2- 3sqrt 3.

    Text Solution

    |

  16. Multiply 6sqrt 5 by 2 sqrt5 .

    Text Solution

    |

  17. Divide 8 sqrt15 by 2 sqrt3 .

    Text Solution

    |

  18. Simplify the following expression:- (5+sqrt7)(2+sqrt5)

    Text Solution

    |

  19. Simplify the following expression:- (5+sqrt5)(5-sqrt5)

    Text Solution

    |

  20. Simplify the following expression:- (sqrt3+sqrt7)^2

    Text Solution

    |

  21. Simplify the following expression:- (sqrt11-sqrt7)(sqrt11+sqrt7)

    Text Solution

    |