Home
Class 10
MATHS
Prove that 3+2sqrt5 is irrational number...

Prove that `3+2sqrt5` is irrational number.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|78 Videos

  • SAMPEL PAPER 13

    AGRAWAL PUBLICATION|Exercise EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

Prove that 2+sqrt5 is an irrational number.

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

.Prove that 3 + 2sqrt5 is an irrational number.

Prove that sqrt(5) is an irrational number.

Prove that sqrt(5) is an irrational number.

Prove that sqrt(5) is an irrational number . Hence prove that 3sqrt(5)+7 is an irrational number .

Prove that 3-sqrt(5) is an irrational number

Prove that sqrt5 is an irrational number and hence show that 3 +sqrt5 is also an irrational number.

Prove that sqrt(5) is an irrational number and hence show that 2-sqrt(5) is also an irrational number.

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

AGRAWAL PUBLICATION-REAL NUMBERS-EXAMPLE
  1. Prove that the number 4^n, n being a natural number, can never end wit...

    Text Solution

    |

  2. Find the two numbers which on multiplication with sqrt360 gives a rati...

    Text Solution

    |

  3. Prove that sqrt5 is an irrational number.

    Text Solution

    |

  4. Prove that 2+5sqrt3 is an irrational number, given that sqrt3 is an ir...

    Text Solution

    |

  5. Prove that sqrt2 is an irrational number.

    Text Solution

    |

  6. Find HCF and LCM of 404 and 96 and verify that HCF xx LCM =Product of ...

    Text Solution

    |

  7. Write the denominator of rational number 257/5000 in the form 2^mxx5^n...

    Text Solution

    |

  8. Three bells toll at intervals of 12 minutes, 15minutes and 18minutes r...

    Text Solution

    |

  9. Find if 987/10500 will have terminating or non-terminating (repeating)...

    Text Solution

    |

  10. On a morning walk, three people step off together and their steps meas...

    Text Solution

    |

  11. A merchant has 120 litres and 180 liters of two kinds of oil. He wants...

    Text Solution

    |

  12. Using prime factorisation, find HCF and LCM of 18,45 and 60. Check if ...

    Text Solution

    |

  13. Show that the square of any positive odd integer is of the form 8m+1, ...

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that 3+2sqrt5 is irrational number.

    Text Solution

    |

  16. Show that the square of any positive integer cannot be of the form (5q...

    Text Solution

    |

  17. Prove that one of every three consecutie positive integers is divisble...

    Text Solution

    |

  18. Prove that sqrtn is not a rational number, if n is not perfect square.

    Text Solution

    |

  19. The decimal expansions of some real numbers are given below. In each c...

    Text Solution

    |

  20. The decimal expansions of some real numbers are given below. In each c...

    Text Solution

    |