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

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

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 (x-1)/(sqrt(x)) is equal to a.sqrt(2) b.sqrt(3)c.2sqrt(2)d.2sqrt(3)

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4

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

If x = 5+2sqrt6 , then the value of (sqrtx +frac(1)(sqrtx)) is (A) 2sqrt2 (B) 3sqrt2 (C ) 2sqrt3 (D) 3sqrt3

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

(sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=2-b sqrt(6) find b

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

(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)

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

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

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. The value of (2^(3x+4)+8^(x+1))/(8^(x+1)-2^(3x+2)) is a. 3 b. 4 c. 5 d...

    Text Solution

    |

  2. The value of (2^(n-1)-2^n)/(2^(n+4)+2^(n+1)) is a. -1/(36) b. 2/3 c. 1...

    Text Solution

    |

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

    Text Solution

    |

  4. (4+sqrt(7)) expressed as a perfect square, is equal to (2+sqrt(7))^2 b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The value of the expression sqrt(4+sqrt(15))+sqrt(4-sqrt(15))-sqrt(12-...

    Text Solution

    |

  9. if N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+2))-sqrt(3-2sqrt(...

    Text Solution

    |

  10. Given that 10^0.48=x ,\ 10^(0.70)=y\ and\ x^z=y^2, then the value of z...

    Text Solution

    |

  11. If m and n are whole numbers such that m^n=121 , then the value of (m-...

    Text Solution

    |

  12. Number of prime factors in (216)^(3/5)xx(2500)^(2/5)xx(300)^(1/5) is

    Text Solution

    |

  13. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(12)xx...

    Text Solution

    |

  14. 1+(3+1)(3^2+1)(3^4+1)(3^8+1)(3^(16)+1)(3^(32)+1) is equal to (3^(64)-1...

    Text Solution

    |

  15. 1/(1+a^(n-m))+1/(1+a^(m-n))=? a. 0 b. 1/2 c. 1 d. a^(m+n)

    Text Solution

    |

  16. If a+b+c=0, then the value of (x^a)^(a^2-b c)*(x^b)^(b^2-ca)*(x^c)^(c^...

    Text Solution

    |

  17. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

    Text Solution

    |

  18. (x^a/x^b)^(a+b-c)*(x^b/x^c)^(b+c-a)*(x^c/x^a)^(c+a-b)=? a. 1 b. x^(abc...

    Text Solution

    |

  19. (x^a/x^b)^(a+b)*(x^b/x^c)^(b+c)*(x^c/x^a)^(c+a)=? a. 0 b. x^(abc) c. x...

    Text Solution

    |

  20. (x^a/x^b)^(1//ab)*(x^b/x^c)^(1//bc)*(x^c/x^a)^(1//ca)=? a. 1 b. x^(1//...

    Text Solution

    |