Home
Class 14
MATHS
If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo))...

If `x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo))))` , then the value of x is (A) `(sqrt7+1)/2` (B) `(sqrt6+1)/2` (C) `(sqrt3+1)/2` (D) `(sqrt5+1)/2`

Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    RS AGGARWAL|Exercise question|15 Videos
  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos

Similar Questions

Explore conceptually related problems

If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+.oo))), then ) the value of x is (A)(sqrt(7)+1)/(2) (B) (sqrt(6)+1)/(2)(C)(sqrt(3)+1)/(2) (D) (sqrt(5)+1)/(2)

If x=sqrt((sqrt(5)+1)/(sqrt(5)-1)), then the value of x= of 5x^(2)-5x-1 is

If x=sqrt(1+sqrt(3)/(2))-sqrt(1-sqrt(3)/(2)) , then the value of (sqrt(2)-x)/(sqrt(2)+x) will be closet to :

sqrt(x)-sqrt(1-x)=(1)/(5) and sqrt(x)+sqrt(1-x)=(7a)/(5) then the value of a is :

The value of sin 60 is: A. sqrt 1//2 B. sqrt 3//2 C. 1//sqrt 2 D. sqrt""1//sqrt""2

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

If x=(sqrt(3)+1)/(sqrt(3)-1) and y=(sqrt(3)-1)/(sqrt(3)+1) then find the value of x^(2)+y^(2)

RS AGGARWAL-SQUARE ROOTS AND CUBE ROOTS-All Questions
  1. If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), b=(sqrt(3)-sqrt(2))/(sqrt(3)...

    Text Solution

    |

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

    Text Solution

    |

  3. If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo)))) , then the value of x is ...

    Text Solution

    |

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

    Text Solution

    |

  5. If a=sqrt(3+sqrt(3+sqrt(3+\ ddot))) , then which of the following i...

    Text Solution

    |

  6. (sqrt(3+x)+sqrt(3-x))/(sqrt(3+x)-sqrt(3-x))=2 . Then x is equal to 5/7...

    Text Solution

    |

  7. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  8. A gardener plants 17956 trees in such a way that there are as many ...

    Text Solution

    |

  9. The number of trees in each row of a garden is equal to the total n...

    Text Solution

    |

  10. 1250 oranges were distributed among a group of girls of a class. Ea...

    Text Solution

    |

  11. A General wishes to draw up his 36581 soldiers in the form of a sol...

    Text Solution

    |

  12. A group of students decided to collect as many paise from each memb...

    Text Solution

    |

  13. A mobile company offered to pay the Indian Cricket Team as much mon...

    Text Solution

    |

  14. 148877 3=? (a) 43 (b) 49 (c) 53 (d) 59

    Text Solution

    |

  15. 681472 3=? (a) 76 (b) 88 (c) 96 (d) 98

    Text Solution

    |

  16. 1728-:262144 3xx?-288=4491 (a) 148 (b) 156 (c) 173 (d) 177

    Text Solution

    |

  17. 99xx21-?3=1968 (a) 1367631 (b) 111 (c) 1366731 (d) 1367

    Text Solution

    |

  18. The cube root of .000216 is (a) .6     (b) .06     (c) .006     (d)...

    Text Solution

    |

  19. 4(12)/(125)3=? 1 2/5 (b) 1 3/5 (c) 1 4/5 (d) 2 2/5

    Text Solution

    |

  20. sqrt(. 000064)3=? (c) .02 (b) .2 (c) 2 (d) None of these

    Text Solution

    |