Home
Class 8
MATHS
If a=(sqrt(3)+sqrt(2))^(- 3) and b=(5-2...

If `a=(sqrt(3)+sqrt(2))^(- 3) and b=(5-2sqrt(6))^(- 3/2)` then the value of `(a+1)^-1+(b+1)^-1` is

A

`50sqrt(3)`

B

`48sqrt(2)`

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SURDS

    S CHAND IIT JEE FOUNDATION|Exercise SELF-ASSESSMENT SHEET -6|10 Videos

  • SURDS

    S CHAND IIT JEE FOUNDATION|Exercise UNIT TEST -1 |15 Videos

  • SURDS

    S CHAND IIT JEE FOUNDATION|Exercise UNIT TEST -1 |15 Videos

  • SQUARE ROOTS AND CUBE ROOTS

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-4|10 Videos

  • TIME AND WORK

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 20|10 Videos

Similar Questions

Explore conceptually related problems

if a=(5+2sqrt(6))^(2001) and b=(5-2sqrt(6))^(2001) then the value of (a+1)^(-1)+(b+1)^(-1) is

If a = (sqrt(5) + sqrt(4))^(-3) and b = (sqrt(5) - sqrt(4))^(-3) , then the value of: (a+1)^(-1) + (b+1)^(-1) is:

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

If a=(1)/(3-2sqrt(2)),b=(1)/(3+2sqrt(2)) then the value of a^(2)+b^(2) is

a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)),b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) then the value of (1)/(a^(2))+(1)/(b^(2))

S CHAND IIT JEE FOUNDATION-SURDS -QUESTION BANK -6
  1. Given that: sqrt(3) = 1.732, (sqrt(6) + sqrt(2)) / (sqrt(6)-sqrt(2)) i...

    Text Solution

    |

  2. If x=8 + 2sqrt(15), then the value of sqrt(x) + 1/sqrt(x) is:

    Text Solution

    |

  3. 1+(4sqrt(3))/(2-sqrt(2)) -30/(4sqrt(3)-sqrt(18)) - sqrt(18)/(3+2sqrt(3...

    Text Solution

    |

  4. Given that: sqrt(3)=1.732, then (sqrt(147) -1/4sqrt(48) -sqrt(75)) is ...

    Text Solution

    |

  5. If sqrt(6) =2.55, then the value of sqrt(2/3) + sqrt(3/2) is:

    Text Solution

    |

  6. The value of sqrt(5 sqrt(5 sqrt(5)...)) is

    Text Solution

    |

  7. The value of 1/(sqrt(3.25) + sqrt(2.25)) + 1/(sqrt(4.25) + sqrt(3.25))...

    Text Solution

    |

  8. If sqrt(2)=1. 414 , the square root of (sqrt(2)-1)/(sqrt(2)+1) is n...

    Text Solution

    |

  9. The value of 1/(sqrt(12-sqrt(140)))-1/(sqrt(8-sqrt(60)))-2/(sqrt(10+sq...

    Text Solution

    |

  10. sqrt(2+sqrt(2+sqrt(2+\ dot))) is equal to (a) 1 (b) 1.5 (c) 2 (d) 2.5

    Text Solution

    |

  11. The value of sqrt32 - sqrt128 + sqrt50 correct to 3 places of decimal...

    Text Solution

    |

  12. The value of sqrt(( sqrt(12) -sqrt(8))(sqrt(3)+sqrt(2))/(5+sqrt(24))...

    Text Solution

    |

  13. What is the sum of the square of the following numbers? sqrt(3)/(sq...

    Text Solution

    |

  14. Which is the odd one out of the following?

    Text Solution

    |

  15. If a=(sqrt(3)+sqrt(2))^(- 3) and b=(5-2sqrt(6))^(- 3/2) then the valu...

    Text Solution

    |

  16. By how much does 5sqrt(7) - 2sqrt(5) exceed 3sqrt(7) - 4sqrt(5) ?

    Text Solution

    |

  17. If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1) , the value...

    Text Solution

    |

  18. Given that sqrt(3) = 1.732, the value of (3 + sqrt(6 ))/( 5 sqrt(3) -...

    Text Solution

    |

  19. The sum of 1/(sqrt(2)+1) + 1/(sqrt(3) + sqrt(2)) + 1/(sqrt(4) + sqrt(3...

    Text Solution

    |

  20. If 4=sqrt(x + sqrt(x + sqrt(x +..))), then the value of x will be:

    Text Solution

    |