Home
Class 9
MATHS
If x=3-2sqrt(2),find x^2+1/(x^2)...

If `x=3-2sqrt(2)`,find `x^2+1/(x^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

If x= 3 + 2 sqrt2 , find x- (1)/(x)

If x = 3 + sqrt7 , find x^2 + 1/x^2

If x = 3 + sqrt8 find x^2 + 1/x^2

if x = 2 - sqrt3 , find x^2 + 1/x^2

If x= 3 + 2 sqrt2 , find (1)/(x)

If x= 3 + 2 sqrt2 , find (x- (1)/(x))^(3)

If x= 2sqrt(3)+2sqrt(2) find : (1)/(x)

If x= 2sqrt(3)+2sqrt(2) find : (x+(1)/(x))^(2)

If x=2sqrt(3)+2sqrt(2) , find : (i) 1/x" (ii) "x+1/x" (iii) "(x+1/x)^(2)

If x=3+2sqrt(2) , then find : (i)(1)/(x)" "(ii)x+(1)/(x)" "(iii)x-(1)/(x)" "(iv)x^(2)-(1)/(x^(2))

RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. If x=1/(2-sqrt(3)), find the value of x^3-2x^2-7x+5

    Text Solution

    |

  2. If x=1-sqrt(2), find the value of (x-1/x)^3

    Text Solution

    |

  3. If x=3-2sqrt(2),find x^2+1/(x^2)

    Text Solution

    |

  4. If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^2-b...

    Text Solution

    |

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

    Text Solution

    |

  6. Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sq...

    Text Solution

    |

  7. Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (i...

    Text Solution

    |

  8. If x=2+sqrt(3) , find the value of x^2+1/(x^2)

    Text Solution

    |

  9. Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+\ sqrt(4))+1/...

    Text Solution

    |

  10. Simplify : (i)(5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2)...

    Text Solution

    |

  11. Simplify the following expressions: (i)(3+sqrt(3))(2+sqrt(2)) (ii...

    Text Solution

    |

  12. Simplify each of the following: (i)(16)^(1/5)xx(2)^(1/5) (ii) (243)...

    Text Solution

    |

  13. Simplify the following expressions: (i)(11+sqrt(11))(11-sqrt(11)) ...

    Text Solution

    |

  14. Simplify the following expressions: (i) (4+sqrt(7))(3+sqrt(2)) (ii)...

    Text Solution

    |

  15. Simplify each of the following: (i) 4 3×16 3 (ii) (1250 4)/(2 4)

    Text Solution

    |

  16. Simplify : (i)(sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

    Text Solution

    |

  17. Rationalise the denominator of 2/(sqrt(3)) .

    Text Solution

    |

  18. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

    Text Solution

    |

  19. Simplify each of the following: (i)root(5)(16)xxroot(5)(2) (ii) ro...

    Text Solution

    |

  20. Simplify the following expressions: (i)(3+sqrt(3))\ (2+sqrt(2)) (...

    Text Solution

    |