Home
Class 9
MATHS
Simplify : (i)(5+sqrt(5))(5-sqrt(5)) ...

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

Text Solution

AI Generated Solution

Let's simplify the given expressions step by step. ### (i) Simplify `(5 + √5)(5 - √5)` 1. **Identify the expression**: We have `(5 + √5)(5 - √5)`. 2. **Use the algebraic identity**: We can use the identity \( (a + b)(a - b) = a^2 - b^2 \). - Here, \( a = 5 \) and \( b = √5 \). 3. **Calculate \( a^2 \)**: ...
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

Simplify (5+sqrt(7))(5+sqrt(2))

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

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

Simplify: (i) (7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5)) (ii) 1/(2+sqrt(3)\ )+2/(sqrt(5)-\ sqrt(3))+1/(2-\ sqrt(5))

Rationalies the denominator and simplify: (i) (1+sqrt(2))/(3-2sqrt(2)) (ii) (2sqrt(6)-\ sqrt(5))/(3sqrt(5)-\ 2sqrt(6))

Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(3))

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) (ii)\ (3+sqrt(3))\ (5-sqrt(2)) (iii)\ (sqrt(5)-2)\ (sqrt(3)-sqrt(5))

Rationalize the denominator of : (i) (2sqrt(3))/sqrt(5)" (ii) "1/(sqrt(3)-sqrt(2))

Rationalise the denominator of each of the following (i) (sqrt(3)+\ 1)/(sqrt(2)) (ii) (sqrt(2)+\ sqrt(5))/(sqrt(3)) (iii) (3sqrt(2))/(sqrt(5))

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Simplify each of the following: (i)root(3)4xx root(3)(16) (ii) ro...

    Text Solution

    |

  17. Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) ...

    Text Solution

    |

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

    Text Solution

    |

  19. Simplify the following expressions: (i)(3+sqrt(3))\ (3-sqrt(3)) (...

    Text Solution

    |

  20. Simplify the following expressions: (i)\ (sqrt(3)+\ sqrt(7))^2 (...

    Text Solution

    |