Home
Class 11
MATHS
Verify by the method of contradiction t...

Verify by the method of contradiction that `sqrt7` is irrational.

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    PATHFINDER|Exercise QUESTION BANK|88 Videos
  • MEASUREMENT OF ANGLES & TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Verify by the method of contradiction. p:sqrt7 is irrational

Show that sqrt2 is irrational.

Show that 3sqrt2 is irrational.

Show that 5-sqrt3 is irrational.

Prove by method of contradiction that sqrt5 is an irrational number

Prove that sqrt2+sqrt2 is irrational .

Write the negation of the following statements. sqrt7 is rational.

Prove the following by contradiction : "The sum of a rational and irrational number is an irrational number ."

Define an irrational number and show that sqrt(5) is an irrational number.

Check the validity of the following compound statement using (i) direct method contrapositive method and (iii) contradiction method If x is a real number such that 4x^(3)+3x=0, " then" x=0

PATHFINDER-MATHEMATICAL REASONING-QUESTION BANK
  1. Write the truth value of the following compound statements"12-9i(i=sqr...

    Text Solution

    |

  2. Write the converse conradiction and contrapositive of the statement" t...

    Text Solution

    |

  3. Write the negation of the following compound statements:"All the stude...

    Text Solution

    |

  4. Find the component statements of the compound statements: " There is s...

    Text Solution

    |

  5. Check the validity of the compound statement "square of an integer is ...

    Text Solution

    |

  6. Given below are two statements: p:25 is a multiple of 5 q:25 is a mult...

    Text Solution

    |

  7. Indicate the quantifier in the following statements and comment whethe...

    Text Solution

    |

  8. Indicate the quantifiers in the following statements and comment wheth...

    Text Solution

    |

  9. Check whether the following statement is true or false by proving its ...

    Text Solution

    |

  10. Show that that the following statement are true by the method of conta...

    Text Solution

    |

  11. Show that that the following statement are true by the method of conta...

    Text Solution

    |

  12. Write the simple statements contains the following compound mathematic...

    Text Solution

    |

  13. Write the simple statements contains the following compound mathematic...

    Text Solution

    |

  14. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  15. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  16. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  17. Verify by the method of contradiction that sqrt7 is irrational.

    Text Solution

    |

  18. Check the validity of the statements given below by contradiction meth...

    Text Solution

    |

  19. By giving an example, show that the following is false: "If n is an od...

    Text Solution

    |

  20. By contradiction Method , Prove n^2gt16 where ngt4 and n is any real ...

    Text Solution

    |