Home
Class 14
MATHS
If x=5+2sqrt(6), then (x-1)/sqrt(x) is e...

If `x=5+2sqrt(6),` then `(x-1)/sqrt(x)` is equal to a. `sqrt(2)` b. `sqrt(3)` c. `2sqrt(2)` d. `2sqrt(3)`

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos
  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

If x=5+2sqrt(6), then sqrt(x)-(1)/(sqrt(x)) is a.2sqrt(2)b2sqrt(3)c*sqrt(3)+sqrt(2)d*sqrt(3)-sqrt(2)

sqrt(6-4sqrt(3)+sqrt(16-8sqrt(3))) is equal to 1-sqrt(3) b.sqrt(3)-1 c.2(2-sqrt(3)) d.2(2+sqrt(3))

If x=3-sqrt(8), then x^(3)+(1)/(x^(3)) is equal to a.6 b.198c.6sqrt(2)d.102

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

If x=3-sqrt(8), then x^(3)+(1)/(x^(3)) is equal to 6 b.198 c.6sqrt(2)d.102

(sqrt(-2))(sqrt(-3)) is equal to sqrt(6)b.-sqrt(6)c.i sqrt(6)d* none of these

sqrt(8-2sqrt(15)) is equal to 3-sqrt(5)b*sqrt(5)-sqrt(3) c.5-sqrt(3)d.sqrt(5)+sqrt(3)

If x=3-sqrt(8), then x^(3)+(1)/(x^(3)) is equal to 6 (b) 198(c)6sqrt(2)(d)102

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

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. If x^y=y^x, then (x/y)^(x//y) is equal to a. x^(y//x) b. x^(x/y-1) c. ...

    Text Solution

    |

  2. If 4^(x+y)=1\ and \ 4^(x-y)=4, then the values of x and y respectively...

    Text Solution

    |

  3. If 2^(2x-1)+4^x=2^(x-1/2)+2^(x+1/2), then x equals a. 1/2 b. 2/3 ...

    Text Solution

    |

  4. If 3^(2x-y)=3^(x+y)=sqrt27 , the value of y is a. 1/2 b. 3/4 c. 1/4 d....

    Text Solution

    |

  5. If 3^x=5^y=45^z , then a. 2/z=1/y-1/x b. 2/y=1/x-1/z c. 2/x=1/z-1/y d....

    Text Solution

    |

  6. Given 2^x=8^(y+1)\ and\ 9^y=3^(x-9) , then the value of x+y is a. 18 b...

    Text Solution

    |

  7. What are the values of x\ and\ y that satisfy the equation2^(0.7x)*3^(...

    Text Solution

    |

  8. Let r be the result of doubling both the base and the exponent of a^b ...

    Text Solution

    |

  9. Which of the following is the greatest? a. sqrt(2) b. root(3)3 c. root...

    Text Solution

    |

  10. The greatest of sqrt(2),root(6)3,root(3)4,root(4)5 is a. sqrt(2) b. ro...

    Text Solution

    |

  11. The largest number in the sequence 1,\ 2^(1/2),\ 3^(1/3),\ 4^(1/4),\.....

    Text Solution

    |

  12. If x=5+2sqrt(6), then (x-1)/sqrt(x) is equal to a. sqrt(2) b. sqrt(3) ...

    Text Solution

    |

  13. If x^(1//3)+y^(1//3)=z^(1//3), then {(x+y-z)^3+27 x y z} equals a. 0 b...

    Text Solution

    |

  14. If x = 2 + 2^(1/3) + 2^(2/3) then value of x^3 - 6x^2 + 6x –2 is

    Text Solution

    |

  15. Find the value of (-2)^5xx(2)^(-5)xx(3)^3 a. -108 b. 27 c. -27 d. (2)^...

    Text Solution

    |

  16. The quotient when 10^(100) is divided by 5^(75) is a. 2^25 xx10^(75) b...

    Text Solution

    |

  17. The exponential form of sqrt(sqrt(2)xxsqrt(3)) is a. 6 b. 6^(1//2) c....

    Text Solution

    |

  18. 21^?xx21^(6. 5)=21^(12. 4) 18. 9 b. 4. 4 c. 5. 9 d. 13. 4

    Text Solution

    |

  19. (5.4-:3xx16-:2)/(18-:5xx6-:3) a. 2 b. 4 c. 6 d. 8

    Text Solution

    |

  20. (32xx10^(-5))^(2)xx64-:(2^16xx10^(-4))=10^? a. 6 b. 10 c. -8 d. -6

    Text Solution

    |