Home
Class 14
MATHS
If (8+3 sqrt7)^n =P+F, where P is an in...

`If (8+3 sqrt7)^n` =P+F, where P is an integer ad F is a proper fraction then

A

`(sqrt3)^5`

B

32

C

`(1.99)^5`

D

31.232

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

If (3sqrt(3)+5)^(7)=P+F where P is an integer and F is a proper fraction,then F(P+F)=

If (3sqrt(3)+5)^(n)=p+f. where p is an integer and f is a proper fraction.then find the value of (3sqrt(3)-5)^(n),n in,N, is

If (7 + 4 sqrt(3))^(n) + 5 + t , where n and s are positive integers and t is a proper fraction , show that (1 - t) (s + t) = 1

Let R=(5sqrt(5)+11)^(31)=1+f, where I is an integer and f is the fractional part of R then Rf is equal to

if (7+4sqrt(3))^(n)=p+beta where n&p are positive integers and beta is a proper fraction show that (1-beta)(p+beta)=1

If n is a positive integer and (3sqrt(3)+5)^(2n+1)=l+f where l is an integer annd 0 lt f lt 1 , then

If (9 + 4 sqrt(5))^(n) = I + f ,n and l being positive integers and f is a proper fraction , show that (I-1 ) f + f^(2) is an even integer.

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The sum of the squares of a two digit number is 10. If we add 18 to th...

    Text Solution

    |

  2. One day my friend Dorsey told me from LA, that he gets the same salary...

    Text Solution

    |

  3. A leading chocolate producing company produces 'abc' chocolates per ho...

    Text Solution

    |

  4. A number D236DO can be divided by 36 if D is :

    Text Solution

    |

  5. In the christmas eve of his 7th birthday anniversary, Martin the eldes...

    Text Solution

    |

  6. In the christmas eve of his 7th birthday anniversary, Martin the eldes...

    Text Solution

    |

  7. Which one of the following is not the correct relation?

    Text Solution

    |

  8. In a college of 300 students , every student reads 5 newspapers and ev...

    Text Solution

    |

  9. At East End Mall, burgers can be bought in quantities of either 6,9 or...

    Text Solution

    |

  10. Let there be a fraction whose denominator is one less than the square ...

    Text Solution

    |

  11. When a two digit number is subtracted from another two digits number c...

    Text Solution

    |

  12. Which of the following option is correct

    Text Solution

    |

  13. If 1^3 = 1, 2^3 = 3 + 5, 3^3 = 7 + 9 + 11, 4^3 = 13 + 15 + 17 + 19, 5^...

    Text Solution

    |

  14. If {x} denotes the fractional part of x, then {5^2/8} is:

    Text Solution

    |

  15. Which one of the following is correct?

    Text Solution

    |

  16. If x and y are possible prime number and if x^2 - 2y^2 = 1, then the v...

    Text Solution

    |

  17. The greatest possible divisor of 3n^(2n + 3) - 24n - 27 for every n in...

    Text Solution

    |

  18. If (8+3 sqrt7)^n =P+F, where P is an integer ad F is a proper fractio...

    Text Solution

    |

  19. When product of r consecutive positive integers is divided by r! then ...

    Text Solution

    |

  20. If (p/q)^(n-1)=(q/p)^(n-3), then the value of n is

    Text Solution

    |