Home
Class 9
MATHS
Rationalise the denominator of 1/(3+sqrt...

Rationalise the denominator of `1/(3+sqrt(2))`

Text Solution

Verified by Experts

Given :
`1/(3+sqrt(2))`
Multiplying the numerator and denominator of the given number by `(3-sqrt(2))`
i.e,
`1/(3+sqrt(2))=1/(3+sqrt(2))xx(3-sqrt(2))/(3-sqrt(2))`
`=(3-sqrt(2))/(3^2-(sqrt2)^2)`
`=(3-sqrt(2))/(9-2)`
`=(3-sqrt(2))/7`
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    RD SHARMA|Exercise All Questions|251 Videos
  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Rationalise the denominator of (1)/(sqrt(2))

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalise the denominator of (1)/(7+3sqrt(2))

Rationalize the denominator of 1/(5+3sqrt7

Rationalise the denominator of (1)/(2+sqrt(3))

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

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

Rationalise the denominator of (5)/(7+3sqrt(2))

Rationalise the denominator of (1)/(8+4sqrt(2))

RD SHARMA-RATIONALISATION -All Questions
  1. Simplify the following expressions: (i)\ (sqrt(3)+\ sqrt(7))^2 (ii...

    Text Solution

    |

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

    Text Solution

    |

  3. Rationalise the denominator of 1/(3+sqrt(2))

    Text Solution

    |

  4. Rationalise the denominator of 5/(sqrt(3)-\ sqrt(5))

    Text Solution

    |

  5. Rationalise the denominator of 1/(7+3sqrt(2))

    Text Solution

    |

  6. Rationalise the denominator in each of the following: (i)2/(sqrt(7))...

    Text Solution

    |

  7. Given that sqrt(5)=2. 236 approximately, find the three places of deci...

    Text Solution

    |

  8. Find the value of three places of decimals, of each of following: It...

    Text Solution

    |

  9. Find the value of three places of decimals; of each of the following...

    Text Solution

    |

  10. If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three place...

    Text Solution

    |

  11. Simplify each of the following by rationalising the denominator: 1/(...

    Text Solution

    |

  12. Simplify each of the following by rationalizing the denominator: I(I...

    Text Solution

    |

  13. If both a and b are rational numbers, find the values of a and b in e...

    Text Solution

    |

  14. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

    Text Solution

    |

  15. If both a and b are rational numbers, find the values of a and b in ea...

    Text Solution

    |

  16. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

    Text Solution

    |

  17. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

    Text Solution

    |

  18. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

    Text Solution

    |

  19. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

    Text Solution

    |

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

    Text Solution

    |