Home
Class 9
MATHS
Find the value to three places of decima...

Find the value to three places of decimals of each of the following. It is given that `sqrt(2)=1. 414 , sqrt(3)=1. 732 , sqrt(5)=2. 236` and `sqrt(10) = 3. 162`
(i)`(sqrt(5)+1)/(sqrt(2))` (ii) `(sqrt(10)+ sqrt(15))(sqrt(2))`

Text Solution

Verified by Experts

`(i) (sqrt5+1)/sqrt2`
`(sqrt5+1)/sqrt2xx(sqrt2)/sqrt2`
`(sqrt2(sqrt5+1))/2`
`(2xx(sqrt5+1))/2`
`(sqrt5+1)`
`(ii)(sqrt10+sqrt15/sqrt2)`
`( sqrt10+sqrt15/sqrt2 × sqrt2)/ sqrt2`
`(sqrt2(sqrt10+sqrt15))/ (sqrt2xx sqrt2)`
`(sqrt20 + sqrt30)/2`
`(2sqrt5+ sqrt30)/ 2`
`sqrt20= sqrt2xx2xx5= 2sqrt5`
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

Find the value to three places of decimals of each of the following.It is given that sqrt(2)=1.414,sqrt(3)=1.732,quad sqrt(5)=2.236 and sqrt(10)=3.162(2)/(sqrt(3))( ii) (3)/(sqrt(10))

Find the value to three places of decimals of each of the following.It is given that sqrt(2)=1.414,sqrt(3)=1.732,quad sqrt(5)=2.236 and sqrt(10)=3.162(2+sqrt(3))/(3) (ii) (sqrt(2)-1)/(sqrt(5))

Find the value to three places of decimals; of each of the following.It is given the sqrt(2)=1.414,sqrt(3)=1.732,sqrt(10)=3.162 and sqrt(5)=2.236( approx.).1.)(sqrt(2)+1)/(sqrt(5))

Find the value of three places of decimals,of each of following: It is given that sqrt(2)=1.414,sqrt(3)=1.732,sqrt(10)=3.162 and sqrt(5)=2.236( approx )*(1)/(sqrt(2))( ii) (1)/(sqrt(3)) (iii) (1)/(sqrt(10))

Find the value of three places of decimals; of each of the following.It is given that sqrt(2)=1.414,sqrt(3)=1.732,sqrt(10)=3.162 and sqrt(5)=2.236( approx ).(sqrt(2)+1)/(sqrt(5)) (ii) (2-sqrt(3))/(sqrt(3))( iii) (sqrt(10)-sqrt(5))/(sqrt(2))

Find the value to three places of decimals,of sqrt(10): It is given that sqrt(2)=1.414,sqrt(3)=1.732, and sqrt(5)=2.236 (approx.)

Find the value to three places of decimals; of sqrt(15. It is ) given that sqrt(2)=1.414,sqrt(3)=1.732,sqrt(10)=3.162and sqrt(5)=2.236 (approx.).

sqrt2=1.414 then 5/sqrt2=

Find the values of each of the following correct to three places of decimals,it being given that sqrt(2)=1.4142,sqrt(3)=1.732,quad sqrt(5)=2.2360,sqrt(6)=2.4495 and sqrt(10)=3.162.(3-sqrt(5))/(3+2sqrt(5)) (ii) (1+sqrt(2))/(3-2sqrt(2))

RD SHARMA-RATIONALISATION -All Questions
  1. Rationalise the denominator of each of the following (sqrt(3)+ 1)/(s...

    Text Solution

    |

  2. Find the value to three places of decimals of each of the following....

    Text Solution

    |

  3. Find the value to three places of decimals of each of the following....

    Text Solution

    |

  4. Find the value to three places of decimals of each of the following....

    Text Solution

    |

  5. Express each one of the following with rational denominator: 1/(3+\ ...

    Text Solution

    |

  6. Express each one of the following with rational denominator: (i)(30...

    Text Solution

    |

  7. Express each one of the following with rational denominator: (i)(sq...

    Text Solution

    |

  8. Express each one of the following with rational denominator: (3sqrt(...

    Text Solution

    |

  9. Rationales the denominator and simplify: (i)(sqrt(3)- sqrt(2))/(sqrt(...

    Text Solution

    |

  10. Rationales the denominator and simplify: (i)(1+sqrt(2))/(3-2sqrt(2)) ...

    Text Solution

    |

  11. Rationales the denominator and simplify: (i)(4sqrt(3)+5sqrt(2))/(sqrt(...

    Text Solution

    |

  12. Simplify: (i)(3sqrt(2)-2sqrt(3))/(3sqrt(2)+ 2sqrt(3))+(sqrt(12))/(sqr...

    Text Solution

    |

  13. Simplify: (i)(7+3 sqrt(5))/(3+ sqrt(5))-(7-3 sqrt(5))/(3- sqrt(5)) ...

    Text Solution

    |

  14. Simplify: 2/(sqrt(5)+ sqrt(3))+1/(sqrt(3)+ sqrt(2))-3/(sqrt(5)+ sqrt(...

    Text Solution

    |

  15. In each of the following determine rational number a and b : (sqrt(...

    Text Solution

    |

  16. In each of the following determine rational number a and b : (i) (...

    Text Solution

    |

  17. In each of the following determine rational number a\ a n d\ b : (i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the value of 6/(sqrt(5)-\ sqrt(3)) , it being given that sqrt(3)=...

    Text Solution

    |