Home
Class 10
MATHS
What should be subtracted from (7 - sqrt...

What should be subtracted from `(7 - sqrt3)` to get `3 + sqrt3` ?

Text Solution

Verified by Experts

The required quantity `= (7 - sqrt3) - (3 + sqrt3)`
`= 7 - sqrt3 - 3 - sqrt3`
`=4 -2 sqrt3`
`:. (4 -2 sqrt3)` should be subtracted from `(7 - sqrt3) " to get " (3 + sqrt3)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.1|20 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (Long Answer Type Questions)|19 Videos

Similar Questions

Explore conceptually related problems

What should be subtracted from (10 - sqrt3) to get (5 + sqrt3) ?

What term should be subtracted from sqrt72 to get sqrt32

Let's find , what must be subtracted from -11x - 7y - 9z to get - 7x + 3y - 5z

What should be added to (1 + sqrt5 - sqrt3) so that the result of addition is 2 sqrt3 ?

What should be added to sqrt5 + sqrt3 so that the result is 2 sqrt5 ?

Subtract the number (7-sqrt3) and (3+sqrt3)

What should subtracted from each element of 5:7 to make the result 2:3.

Find, what must be subtracted from -11x-7y-9z to get -7x+3y-5z.

CALCUTTA BOOK HOUSE-QUADRATIC SURDS-Exercise -3.2
  1. What should be subtracted from (7 - sqrt3) to get 3 + sqrt3 ?

    Text Solution

    |

  2. If x = root(3)(sqrt9 + 1) - root(3)(sqrt9-1), the value of x^(3) + 6x ...

    Text Solution

    |

  3. If x = 5 + 2 sqrt6 and xy =1, " then " (1)/(x^(2)) + (1)/(y^(2)) =

    Text Solution

    |

  4. The simpliest value of (sqrt5 (sqrt(3 - sqrt5)))/(sqrt2 + sqrt(7 - 3 s...

    Text Solution

    |

  5. (sqrt10 + sqrt18)/(sqrt18 - sqrt(3 - sqrt5)) =

    Text Solution

    |

  6. If sqrt2x = sqrt((sqrt3 + 1)/(sqrt3 -1)), then x^(2) -x=

    Text Solution

    |

  7. Rationalising factor of (root(3)(3) + root(3)(2)) is

    Text Solution

    |

  8. If (4 + sqrt15)^((3)/(2)) + (4 - sqrt15)^((3)/(2)) =k. sqrt10, then k ...

    Text Solution

    |

  9. If (sqrt(5 + 2sqrt6)- sqrt(5 - 2 sqrt6))/(sqrt(5 + 2 sqrt6)+ sqrt(5 - ...

    Text Solution

    |

  10. The value of sqrt(2+sqrt(2+ sqrt(2….oo))) is

    Text Solution

    |

  11. If x + 7 + 4 sqrt3, then sqrtx + (1)/(sqrtx) = 4

    Text Solution

    |

  12. root(5)((32)/(243)) is a surd

    Text Solution

    |

  13. show that (7)/(2^((1)/(2)) + 2^((1)/(4)) + 1) = 1 - 3.2^((1)/(4)) + 2....

    Text Solution

    |

  14. Write which one is a rational number and which one is a surd : root(6)...

    Text Solution

    |

  15. Express as like surds: root(6)(5), root(5)(6)

    Text Solution

    |

  16. Express as complete surds: 3 sqrt2, 2 root(3)(4)

    Text Solution

    |

  17. (a) If x gt a, y gt b and x + y = a + b, then find which one of (sqrtx...

    Text Solution

    |

  18. If x and y are rational and if x (3 + 2 sqrt2) - y sqrt2 = y(5 -3 sqrt...

    Text Solution

    |

  19. Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)), (b) ...

    Text Solution

    |

  20. Evaluate: (a) sqrt((x^(3))sqrt( y sqrt(x^(3)sqrt(y....oo)))) ,

    Text Solution

    |

  21. If 2x = a + sqrt((4b^(3) - a^(3))/(3a)) and 2y = a - sqrt((4b^(3) - a^...

    Text Solution

    |