Home
Class 12
MATHS
Without extracting the roots, determine ...

Without extracting the roots, determine which is greater `sqrt(11)-sqrt(5)` or `sqrt(19)-sqrt(13)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (5) (Multiple choice questions)|10 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Self Assessment test|10 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (3) (Multiple choice questions)|15 Videos
  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos
  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

Similar Questions

Explore conceptually related problems

Which is greater sqrt(11)-sqrt(6) or sqrt(17)-sqrt(12) ?

Which is greater sqrt(32)-sqrt(24) or sqrt(50)-sqrt(48)?

Which is greatest (sqrt(7)+sqrt(10)) ro sqrt(3)+sqrt(19)) ?

Which of the following is greater? sqrt(13)-sqrt(12),sqrt(14)-sqrt(13)

If x=sqrt(7)-sqrt(5) and y=sqrt(13)-sqrt(11) then

Which is greater? sqrt(12) or root(3)(3)

If x=sqrt(11)-sqrt(10),y=sqrt(12)-sqrt(11), then

ML KHANNA-LOGARITHMS AND SURDS-Problem Set (4)
  1. If sqrt(3)=1.732, find the value of (sqrt(26-15sqrt((3))))/(5sqrt((2))...

    Text Solution

    |

  2. Find the square root of : 21-4sqrt(5)+8sqrt(3)-4sqrt(15).

    Text Solution

    |

  3. Find the square root of : 5-sqrt(10)-sqrt(15)+sqrt(6).

    Text Solution

    |

  4. Square root of 6 + sqrt(12) - sqrt(24) - sqrt(8) is

    Text Solution

    |

  5. Find the square root of : 21+3sqrt(8)-6sqrt(3)-6sqrt(7)-sqrt(24)-sqrt(...

    Text Solution

    |

  6. The value of sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6))-(1)/(sqrt(5-2sqrt(6)))...

    Text Solution

    |

  7. Prove that sqrt(10+sqrt((24))+sqrt((40))+sqrt((60)))=sqrt(2)+sqrt(3)+s...

    Text Solution

    |

  8. Without extracting the roots, determine which is greater sqrt(11)-sqrt...

    Text Solution

    |

  9. Prove that for x ge 1, the expression sqrt(x+2sqrt((x-1)))+sqrt(x-2sqr...

    Text Solution

    |

  10. Find the cube root of 72 -32sqrt5

    Text Solution

    |

  11. Find the real cube root of 99-70sqrt(2).

    Text Solution

    |

  12. Find the real cube root of 9sqrt(3)+11sqrt(2).

    Text Solution

    |

  13. Find the real cube root of 38sqrt(14)-100sqrt(2).

    Text Solution

    |

  14. If sqrt(3)=1.732, find the value of (26+15sqrt(3))^(2//3)-(26+15sqrt(3...

    Text Solution

    |

  15. Prove (i) root3(20+14sqrt((2)))+root3(20-14sqrt((2)))=4 (ii) {6+sqrt...

    Text Solution

    |

  16. Let u(n)=(1)/(sqrt((5)))[((1+sqrt(5))/(2))^(n)-((1-sqrt(5))/(2))^(n)] ...

    Text Solution

    |

  17. If x=[-(q)/(2)+sqrt((q^(2))/(4)+(p^(3))/(27))]^(1//3)+[-(q)/(2)-sqrt((...

    Text Solution

    |

  18. Prove that root3(2) cannot be expressed in the form p+sqrt(q) where p ...

    Text Solution

    |

  19. Rationalize the denominator of (1)/(sqrt((a))+sqrt((b))+sqrt((c ))+sqr...

    Text Solution

    |

  20. If A/a = B/b = C/c= D/d then prove that sqrt(Aa)+sqrt(Bb)+sqrt(Cc)+sq...

    Text Solution

    |