Home
Class 12
MATHS
Show that sqrt2 is irrational....

Show that `sqrt2` is irrational.

Text Solution

Verified by Experts

The correct Answer is:
Therefore `sqrt(2)` is irrational
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|20 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

Similar Questions

Explore conceptually related problems

Show that 3sqrt2 is irrational.

Show that 5-sqrt3 is irrational.

Prove that sqrt2+sqrt2 is irrational .

Prove that sqrt(3) is an irrational number. (Hint: Follow the method that we have used to prove sqrt(2) cancel(in) QQ .)

Write the truth value for each of the following statements. (1) 3+5=8 and sqrt(2) is an irrational number. (2) 5 is a positive integer or a square is a rectangle. (3) Chennai is not a Tamilnadu.

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

Identify the type of ''Or'' used in the following statements and check whether the statements are true or false: sqrt2 is a rational number or an irrational number

Find the component statements of the following and check whether they are true or not. sqrt2 is a rational number or an irrational number.

For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrational number. Then the relation R is

Show that the given differential equation is homogeneous and solve each of them. xdy-ydx=sqrt(x^(2)+y^(2))dx

NEW JOYTHI PUBLICATION-MATHEMATICAL REASONING-QUESTION FROM COMPETITIVE EXAMS
  1. Show that sqrt2 is irrational.

    Text Solution

    |

  2. The statement ~(ptoq) is equivalent to

    Text Solution

    |

  3. If p:4 is an even prime number q:6 is a divisor of 12 and r: The H...

    Text Solution

    |

  4. Which of the following is not true for any two statements p and q?

    Text Solution

    |

  5. Let p be the statement 'Ravi races' and let q be the statement 'Ravi w...

    Text Solution

    |

  6. Identify the wrong statement from the below

    Text Solution

    |

  7. Let p:7 is not greater than 4 and q: Paris is in France be two state...

    Text Solution

    |

  8. If S(p,q,r)=(~p)vv[~(q^^r)] is a compound statement, then S(~p,~q,~r) ...

    Text Solution

    |

  9. For any two statements p and q, ~(pvvq)vv(~p^^q) is logically equivale...

    Text Solution

    |

  10. Let p: roses and red and q: The sun is a star. Then the verbal transla...

    Text Solution

    |

  11. The statement pto(q to p) is equivalent to

    Text Solution

    |

  12. The negation of (pvv~q)^^q is

    Text Solution

    |

  13. Which one of the following is not a statement?

    Text Solution

    |

  14. If p:2 plus 3 is five and q: Delhi is the capital of India are two s...

    Text Solution

    |

  15. Which one of the following is a statement?

    Text Solution

    |

  16. Let p,q and r be any three logical statements. Which one of the follow...

    Text Solution

    |

  17. The truth values of p,q are r for which (p^^q)vv(~r) has truth value F...

    Text Solution

    |

  18. ~[(~p)^^q] is logically equivalent to

    Text Solution

    |

  19. The statement ~(ptoq) is equivalent to

    Text Solution

    |

  20. The statement pto(q to p) is equivalent to

    Text Solution

    |

  21. Statement-1: ~(pharr~q) is equivalent to (pharrq). Statement-2: ~(p...

    Text Solution

    |