Home
Class 10
MATHS
Prove that sqrtp+sqrtq is an irrational,...

Prove that `sqrtp+sqrtq` is an irrational, where `p and q` are primes.

Text Solution

Verified by Experts

The correct Answer is:
` sqrt(p) + sqrt(q)` is an irrational number
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise NCERT Corner (Exercise - 1.4)|22 Videos

  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise Board Corner (Very short answer questions )|4 Videos

  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise NCERT Corner (Exercise - 1.2)|15 Videos

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Passage Based Questions |10 Videos

  • SAMPLE PAPER 1

    OSWAL PUBLICATION|Exercise QUESTION BANK|100 Videos

Similar Questions

Explore conceptually related problems

Prove that sqrt(p)+sqrt(q) is an irrational,where p and q are primes.

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

Prove that is irrational.

Prove that is irrational.

Use contradiction method to prove that: p: sqrt(3) is irrational is a true statement.

Test paper discussion -1,2,3 discussion || Prove OF √p + √q are irrational from where p,q are prime number

Prove that q^^~p -=~ (q to p)

Assertion(A): sqrt(a) is an irrational number, when a is a prime number. Reason (R):Square root of any prime number is an irrational number.

"If p then q" is same as (where p and q are statement)

Assertion : sqrt2 is an irrational number. Reason : If p be a prime, then sqrtp is an irrational number.

OSWAL PUBLICATION-REAL NUMBERS-NCERT Corner (Exercise - 1.3)
  1. By using the method of contradiction verify that P: sqrt(5) is irratio...

    Text Solution

    |

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

    Text Solution

    |

  3. 1/sqrt2 is

    Text Solution

    |

  4. Prove that the following irrationals ? 7 sqrt(5)

    Text Solution

    |

  5. Prove that the following irrationals ? 6 + sqrt(2)

    Text Solution

    |

  6. Show that the square of any positive integer is either of the form 4q...

    Text Solution

    |

  7. Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3...

    Text Solution

    |

  8. Show that the square of any positive integer cannot be of the form 5m ...

    Text Solution

    |

  9. Show that the square of any positive integer cannot be of the form 6m+...

    Text Solution

    |

  10. Show that the square of any odd integer is of the form 4m+1, for some ...

    Text Solution

    |

  11. If n is an odd integer, then show that n^(2) - 1 is divisible by 8

    Text Solution

    |

  12. Prove that if x and y are both odd positive integers then x^(2) + y^...

    Text Solution

    |

  13. Use Euclid division algorithm to find the HCF of 441, 567 and 693.

    Text Solution

    |

  14. Using Euclid's division algorithm, find the largest number that divide...

    Text Solution

    |

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

    Text Solution

    |

  16. Show that 12^n cannot end with the digits 0 or 5 for any natural numbe...

    Text Solution

    |

  17. In a morning walk, three persons step off together and their steps mea...

    Text Solution

    |

  18. Write the denominator of the rational number 257/5000 in the form 2^m ...

    Text Solution

    |

  19. Prove that sqrtp+sqrtq is an irrational, where p and q are primes.

    Text Solution

    |