EduSahara™ Assignment
Name : Rationalizing Factor
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
    • The rationalising factor of
    • 8

      √

      26
    • =
  • (i)

    √

    29
  • (ii)
    4
    √

    26
  • (iii)

    √

    23
  • (iv)
    26
  • (v)

    √

    26
Question 2
2.
    • Rationalise the denominator of
    • 1

      √

      7
  • (i)
    1
    7

    √

    10
  • (ii)
    1
    7

    √

    5
  • (iii)
    1
  • (iv)
    1
    7
    4
    √

    7
  • (v)
    1
    7

    √

    7
Question 3
3.
    • Rationalise the denominator of
    • 1
      (

      √

      5
      −

      √

      6
      )
  • (i)
    (
    −

    √

    8
    −

    √

    6
    )
  • (ii)
    (
    −

    √

    3
    −

    √

    6
    )
  • (iii)
    (
    −

    √

    5
    −
    6
    )
  • (iv)
    (
    −

    √

    5
    −

    √

    6
    )
  • (v)
    (
    −

    √

    5
    −
    4
    √

    6
    )
Question 4
4.
    • Rationalise the denominator of
    • 1
      (
      5

      √

      5
      +

      √

      8
      )
  • (i)
    (
    5
    117

    √

    5
    −
    4
    117
    )
  • (ii)
    (
    5
    117

    √

    5
    −
    2
    117

    √

    2
    )
  • (iii)
    (
    5
    117

    √

    5
    −
    2
    117
    4
    √

    2
    )
  • (iv)
    (
    5
    117

    √

    2
    −
    2
    117

    √

    2
    )
  • (v)
    (
    5
    117

    √

    7
    −
    2
    117

    √

    2
    )
Question 5
5.
    • Rationalise the denominator of
    • 1
      (
      2

      √

      2
      −

      √

      5
      −

      √

      3
      )
  • (i)
    (
    −
    1
    10

    √

    5
    −
    1
    6

    √

    3
    −
    2
    )
  • (ii)
    (
    −
    1
    10

    √

    5
    −
    1
    6
    −
    1
    15

    √

    30
    )
  • (iii)
    (
    −
    1
    10

    √

    5
    −
    1
    6

    √

    3
    −
    1
    15

    √

    30
    )
  • (iv)
    (
    −
    1
    10

    √

    5
    −
    1
    6

    √

    3
    −
    1
    15
    4
    √

    30
    )
  • (v)
    (
    −
    1
    10

    √

    5
    −
    1
    6

    √

    6
    −
    1
    15

    √

    30
    )
Question 6
6.
    • Rationalise the denominator of
    • 1
      (
      2

      √

      3
      −
      4

      √

      2
      +

      √

      5
      )
  • (i)
    (
    10
    3

    √

    3
    +
    4
    4
    √

    2
    +
    13
    5

    √

    5
    +
    16
    15

    √

    30
    )
  • (ii)
    (
    10
    3

    √

    3
    +
    4

    √

    2
    +
    13
    5

    √

    5
    +
    16
    15

    √

    33
    )
  • (iii)
    (
    10
    3
    +
    4

    √

    2
    +
    13
    5

    √

    5
    +
    16
    15

    √

    30
    )
  • (iv)
    (
    10
    3

    √

    3
    +
    4

    √

    2
    +
    13
    5

    √

    5
    +
    16
    15

    √

    30
    )
  • (v)
    (
    10
    3

    √

    3
    +
    4

    √

    2
    +
    13
    5
    4
    √

    5
    +
    16
    15

    √

    30
    )
Question 7
7.
    • Rationalise the denominator of
    • 1
      (
      −
      3
      √

      2
      +
      3
      √

      5
      )
  • (i)
    (
    1
    3
    3
    √

    4
    +
    1
    3
    3
    √

    12
    +
    1
    3
    3
    √

    25
    )
  • (ii)
    (
    1
    3
    3
    √

    4
    +
    1
    3
    3
    √

    10
    +
    1
    3
    3
    √

    25
    )
  • (iii)
    (
    1
    3
    3
    √

    4
    +
    1
    3
    3
    √

    8
    +
    1
    3
    3
    √

    25
    )
  • (iv)
    (
    1
    3
    3
    √

    4
    +
    1
    3
    3
    √

    10
    +
    1
    3
    5
    √

    25
    )
  • (v)
    (
    1
    3
    3
    √

    4
    +
    1
    3
    3
    √

    10
    +
    25
    3
    )
Question 8
8.
    • Rationalise the denominator of
    • (

      √

      8
      −

      √

      9
      )
      (

      √

      2
      +

      √

      3
      )
    • =
  • (i)
    (
    −
    4
    +
    3

    √

    2
    +
    2
    4
    √

    6
    −
    3

    √

    3
    )
  • (ii)
    (
    −
    4
    +
    3
    4
    √

    2
    +
    2

    √

    6
    −
    3

    √

    3
    )
  • (iii)
    (
    −
    6
    +
    3

    √

    2
    +
    2

    √

    6
    −
    3

    √

    3
    )
  • (iv)
    (
    −
    4
    +
    3

    √

    2
    +
    2

    √

    6
    −
    3

    √

    3
    )
  • (v)
    (
    −
    4
    +
    3

    √

    2
    +
    2

    √

    6
    −
    3

    √

    6
    )
Question 9
9.
    • Rationalise the denominator of
    • (
      −
      4

      √

      9
      −
      4

      √

      6
      )
      (
      3

      √

      5
      +
      5

      √

      7
      )
    • =
  • (i)
    (
    18
    65

    √

    5
    +
    6
    65
    4
    √

    30
    −
    6
    13

    √

    7
    −
    2
    13

    √

    42
    )
  • (ii)
    (
    18
    65

    √

    5
    +
    6
    65

    √

    30
    −
    6
    13

    √

    7
    −
    2
    13

    √

    42
    )
  • (iii)
    (
    18
    65

    √

    5
    +
    6
    65

    √

    30
    −
    6
    13

    √

    7
    −
    2
    13

    √

    44
    )
  • (iv)
    (
    18
    65

    √

    5
    +
    6
    65

    √

    30
    −
    6
    13
    4
    √

    7
    −
    2
    13

    √

    42
    )
  • (v)
    (
    18
    65

    √

    2
    +
    6
    65

    √

    30
    −
    6
    13

    √

    7
    −
    2
    13

    √

    42
    )
    Assignment Key
  •  1) (v)
  •  2) (v)
  •  3) (iv)
  •  4) (ii)
  •  5) (iii)
  •  6) (iv)
  •  7) (ii)
  •  8) (iv)
  •  9) (ii)