Home
Class 9
MATHS
1/(sqrt(9)-\ sqrt(8)) is equal to: (a)3...

`1/(sqrt(9)-\ sqrt(8))` is equal to:
(a)`3+2sqrt(2)`
(b) `1/(3+2sqrt(2))`
(c) `3-2sqrt(2)`
(d) `3/2-\ sqrt(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos
  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

(sqrt(3)-1/(sqrt(3)))^2 is equal to

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

The value of sqrt(3-2\ sqrt(2)) is (a) sqrt(2)-1 (b) sqrt(2)+1 (c) sqrt(3)-sqrt(2) (d) sqrt(3)+\ sqrt(2)

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

The value of sin^-1 (sqrt(3)/2)+ sin^-1 (1/sqrt(2)) is equal to (A) sin^-1 ((sqrt(3+1))/(2sqrt(2))) (B) pi-sin^-1 ((sqrt(3+1))/(2sqrt(2))) (C) pi+sin^-1 ((sqrt(3+1))/(2sqrt(2))) (D) none of these

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)

The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

(4(sqrt(6) + sqrt(2)))/(sqrt(6) - sqrt(2)) - (2 + sqrt(3))/(2 - sqrt(3)) =

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is (a) 2sqrt(5)+\ 3 (b) 2sqrt(5)+sqrt(3) (c) sqrt(5)+sqrt(3)\ \ (d) sqrt(5)-sqrt(3)

RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. The rationalisation factor of 2+sqrt(3) is (a)2-sqrt(3) (b) sqrt(...

    Text Solution

    |

  2. If x=sqrt(5)+\ 2, then x-1/x equals (a)2sqrt(5) (b) 4 (c) 2 (...

    Text Solution

    |

  3. If (sqrt(3)-\ 1)/(sqrt(3)+\ 1)=a-b\ sqrt(3) , then (a)a=2,\ b=1 (b)...

    Text Solution

    |

  4. the simplest rationalising factor of 3√500 (a)3√2 (b)3√5 (c)√3 (...

    Text Solution

    |

  5. The simplest rationalising factor of sqrt(3)+\ sqrt(5) is (a)sqrt(3)-...

    Text Solution

    |

  6. The simplest rationalising factor of 2sqrt(5)-sqrt(3) is (a)2sqrt(5)+...

    Text Solution

    |

  7. If x=2/(3+sqrt(7)) , then (x-3)^2= (a)1 (b) 3 (c) 6 (d) 7

    Text Solution

    |

  8. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)=? (a) 64 ...

    Text Solution

    |

  9. If x+\ sqrt(15)=4, then x+1/x= (a)2 (b) 4 (c) 8 (d) 1

    Text Solution

    |

  10. If x=\ ^3sqrt(2+sqrt(3)) , then x^3+1/(x^3)= (a) 2 (b) 4 (c) 8 (d...

    Text Solution

    |

  11. If x=(sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3)) and y=(sqrt(5)-\ sqrt(3))...

    Text Solution

    |

  12. If x=(sqrt(3)-\ sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+\ sqrt(2))/(...

    Text Solution

    |

  13. The value of sqrt(3-2\ sqrt(2)) is (a)sqrt(2)-1 (b) sqrt(2)+1 ...

    Text Solution

    |

  14. The value of sqrt(5+2sqrt(6)) is (a)sqrt(3)-sqrt(2) (b) sqrt(3)+s...

    Text Solution

    |

  15. If sqrt(2)=1. 4142 , then sqrt((sqrt(2)-1)/(sqrt(2)+1)) is equal to (a...

    Text Solution

    |

  16. If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three place...

    Text Solution

    |

  17. The positive square root of 7+sqrt(48)

    Text Solution

    |

  18. 1/(sqrt(9)-\ sqrt(8)) is equal to: (a)3+2sqrt(2) (b) 1/(3+2sqrt(2...

    Text Solution

    |

  19. The value of (sqrt(48)+\ sqrt(32))/(sqrt(27)+\ sqrt(18)) is (a)4/3 ...

    Text Solution

    |

  20. If x=sqrt6+sqrt5 then find x^2+1/x^2-2

    Text Solution

    |