Home
Class 14
MATHS
If x=((sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)...

If `x=((sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)))` and `y=((sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)))` , find the value of `(x^2+y^2)` .

Text Solution

AI Generated Solution

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

(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

If x=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) and y=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)), find the value of x^(2)-y^(2)

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)

x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) then find x^(2)+y^(2)=?

If 2sqrt(x)=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then the value of x is :

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

RS AGGARWAL-SQUARE ROOTS AND CUBE ROOTS-All Questions
  1. Find the smallest number that must be added to 1780 to make it perf...

    Text Solution

    |

  2. If sqrt(2)=1. 4142 , find the value of (sqrt(2))/((2+sqrt(2))) .

    Text Solution

    |

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

    Text Solution

    |

  4. Find the value of: sqrt(6+sqrt(6+sqrt(6+\ ddot)))

    Text Solution

    |

  5. Find the cube root of 2744.

    Text Solution

    |

  6. By what least number 4320 be multiplied to obtain a number which is...

    Text Solution

    |

  7. sqrt(53824)=? (a) 202 (b) 232 (c) 242 (d) 332

    Text Solution

    |

  8. The square root of 41209 is equal to (a) 103        (b) 203     ...

    Text Solution

    |

  9. The square root of 123454321 is (a) 111111      (b) 12341      (...

    Text Solution

    |

  10. The number of digits in the square root of 625685746009 is (a) 4   ...

    Text Solution

    |

  11. sqrt(sqrt(17956)+sqrt(24025))=? (a) 19 (b) 155 (c) 256 (d) 289 (e) No...

    Text Solution

    |

  12. sqrt(sqrt(44944)+sqrt(52441))=? (a) 17 (b) 312 (c) 441 (d) 485 (e)...

    Text Solution

    |

  13. One-fourth of the sum of prime numbers, greater than 4 but less tha...

    Text Solution

    |

  14. The value of sqrt(10+sqrt(25+sqrt(108+sqrt(154+sqrt(225))))) is (a)...

    Text Solution

    |

  15. Evaluate sqrt(41-sqrt(21+sqrt(19-sqrt(9)))) . (a) 3 (b) 5 (c) 6 (d) 6....

    Text Solution

    |

  16. sqrt(176+sqrt(2401)) is equal to (a) 14 (b) 15 (c) 18 (d) 24

    Text Solution

    |

  17. (sqrt(196))/7xx(sqrt(441))/7xx(120)/(sqrt(225))=? (a) 48 (b) 54 (c) 5...

    Text Solution

    |

  18. (sqrt((225)/(729))-sqrt((25)/(144)))+sqrt((16)/(81))=? 1/(48) (b) 5/(...

    Text Solution

    |

  19. (15)^2+(18)^2-20=sqrt(?) (a) 22 (b) 23 (c) 529 (d) 279841 (e) None...

    Text Solution

    |

  20. sqrt(?)xxsqrt(484)=1034 (a) 2025 (b) 2209 (c) 2304 (d) 2401 (e) No...

    Text Solution

    |