Home
Class 9
MATHS
Give examples of two irrational numbers ...

Give examples of two irrational numbers the product of which is: (i) a rational number  (ii)  an irrational number

Text Solution

Verified by Experts

(i) The number are `sqrt8` and `sqrt2`
Their product `=sqrt8xxsqrt2=2sqrt2xxsqrt2=2xx2=4`, which is a rational number.
(ii) The number are `sqrt5` and `sqrt2`
Their product `=sqrt5xxsqrt2=sqrt10`, which is a irrational number.
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

Give an example of two irrational numbers whose sum as well as product is rational.

Give an example of two irrationals whose product is rational.

Give examples of two irrational lo.,the product of which is 1. A rational no.2. A irrational no.

Negation of an irrational number is an irrational number.

Give an example of two irrational numbers whose. (i) Difference is an irrational number. (ii) difference is a rational number. (iii) sum is an irrational number. (iv) sum is a rational number. (v) product is an irrational. (vi) product is a rational number.

Give examples of two irrational numbers, whose quotient is an irrational number

Give an example of two irrational numbers whose sum is rational

Give an example of each,of two irrational numbers whose: difference is a rational number.difference is an irrational number. sum is a rational number.sum is an irrational number.product is a rational number.product is an irrrational number.quotient is a rational number.quotient is an irrational number.

give one example of two irrational number whose difference is a rational number and sum is irrational number.

RD SHARMA-NUMBER SYSTEM-All Questions
  1. Prove that sqrt 3 is an irrational number.

    Text Solution

    |

  2. Prove that sqrt(n) is not a rational number. if n is not a perfect squ...

    Text Solution

    |

  3. Give examples of two irrational numbers the product of which is: (i)...

    Text Solution

    |

  4. The product of sqrt(2)\ a n d\ sqrt(3) is sqrt(6) , which is an irrati...

    Text Solution

    |

  5. Insert a rational and an irrational number between 2 and 3.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Define an irrational number.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |