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

    • √

      46
    • =
  • (i)

    √

    46
  • (ii)
    4
    √

    46
  • (iii)

    √

    44
  • (iv)

    √

    48
  • (v)
    46
Question 2
2.
    • Rationalise the denominator of
    • 1
      (
      −
      4

      √

      2
      )
  • (i)
    (
    −
    1
    8

    √

    4
    )
  • (ii)
    (
    −
    1
    8

    √

    -1
    )
  • (iii)
    (
    −
    1
    4
    )
  • (iv)
    (
    −
    1
    8

    √

    2
    )
  • (v)
    (
    −
    1
    8
    4
    √

    2
    )
Question 3
3.
    • Rationalise the denominator of
    • 1
      (
      −

      √

      4
      +

      √

      5
      )
  • (i)
    (
    5
    +

    √

    5
    )
  • (ii)
    (
    2
    +
    4
    √

    5
    )
  • (iii)
    (
    0
    +

    √

    5
    )
  • (iv)
    (
    2
    +

    √

    5
    )
  • (v)
    (
    2
    +
    5
    )
Question 4
4.
    • Rationalise the denominator of
    • 1
      (
      −
      9

      √

      9
      −

      √

      5
      )
  • (i)
    (
    −
    25
    724
    +
    1
    724

    √

    5
    )
  • (ii)
    (
    −
    27
    724
    +
    1
    724
    4
    √

    5
    )
  • (iii)
    (
    −
    29
    724
    +
    1
    724

    √

    5
    )
  • (iv)
    (
    −
    27
    724
    +
    1
    724

    √

    5
    )
  • (v)
    (
    −
    27
    724
    +
    5
    724
    )
Question 5
5.
    • Rationalise the denominator of
    • 1
      (

      √

      3
      +

      √

      5
      +

      √

      2
      )
  • (i)
    (
    1
    4

    √

    2
    −
    1
    12

    √

    33
    +
    1
    6

    √

    3
    )
  • (ii)
    (
    1
    4

    √

    2
    −
    1
    12

    √

    28
    +
    1
    6

    √

    3
    )
  • (iii)
    (
    1
    4

    √

    2
    −
    1
    12

    √

    30
    +
    1
    6

    √

    3
    )
  • (iv)
    (
    1
    4

    √

    2
    −
    1
    12

    √

    30
    +
    1
    2
    )
  • (v)
    (
    1
    4

    √

    2
    −
    1
    12

    √

    30
    +
    1
    6
    4
    √

    3
    )
Question 6
6.
    • Rationalise the denominator of
    • 1
      (

      √

      5
      +
      3

      √

      3
      +
      3

      √

      2
      )
  • (i)
    (
    5
    43

    √

    5
    −
    3
    86

    √

    3
    +
    21
    172

    √

    2
    −
    9
    172

    √

    32
    )
  • (ii)
    (
    5
    43

    √

    5
    −
    3
    86

    √

    3
    +
    21
    172

    √

    2
    −
    9
    172

    √

    30
    )
  • (iii)
    (
    5
    43

    √

    2
    −
    3
    86

    √

    3
    +
    21
    172

    √

    2
    −
    9
    172

    √

    30
    )
  • (iv)
    (
    5
    43

    √

    5
    −
    3
    86
    4
    √

    3
    +
    21
    172

    √

    2
    −
    9
    172

    √

    30
    )
  • (v)
    (
    5
    43

    √

    5
    −
    3
    86

    √

    3
    +
    21
    172
    4
    √

    2
    −
    9
    172

    √

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

      3
      −
      3
      √

      5
      )
  • (i)
    (
    −
    1
    8
    3
    √

    9
    +
    1
    8
    3
    √

    15
    −
    1
    8
    5
    √

    25
    )
  • (ii)
    (
    −
    1
    8
    3
    √

    9
    +
    1
    8
    3
    √

    13
    −
    1
    8
    3
    √

    25
    )
  • (iii)
    (
    −
    1
    8
    3
    √

    9
    +
    1
    8
    3
    √

    15
    −
    1
    8
    3
    √

    25
    )
  • (iv)
    (
    −
    1
    8
    3
    √

    9
    +
    1
    8
    3
    √

    15
    −
    25
    8
    )
  • (v)
    (
    −
    1
    8
    3
    √

    9
    +
    1
    8
    3
    √

    17
    −
    1
    8
    3
    √

    25
    )
Question 8
8.
    • Rationalise the denominator of
    • (

      √

      5
      −

      √

      9
      )
      (
      −

      √

      9
      −

      √

      3
      )
    • =
  • (i)
    (
    −
    1
    2

    √

    3
    +
    3
    2
    +
    1
    6

    √

    15
    −
    1
    2

    √

    3
    )
  • (ii)
    (
    −
    1
    2

    √

    5
    +
    5
    4
    +
    1
    6

    √

    15
    −
    1
    2

    √

    3
    )
  • (iii)
    (
    −
    1
    2

    √

    5
    +
    3
    2
    +
    1
    6

    √

    15
    −
    1
    2

    √

    3
    )
  • (iv)
    (
    −
    1
    2

    √

    5
    +
    3
    2
    +
    1
    6
    4
    √

    15
    −
    1
    2

    √

    3
    )
  • (v)
    (
    −
    1
    2

    √

    5
    +
    3
    2
    +
    1
    6

    √

    15
    −
    1
    2

    √

    5
    )
Question 9
9.
    • Rationalise the denominator of
    • (

      √

      7
      +
      4

      √

      4
      )
      (
      3

      √

      4
      +
      2

      √

      8
      )
    • =
  • (i)
    (
    3
    2

    √

    7
    +
    12
    −

    √

    14
    −
    8

    √

    2
    )
  • (ii)
    (
    3
    2

    √

    7
    +
    13
    −

    √

    14
    −
    8

    √

    2
    )
  • (iii)
    (
    3
    2

    √

    7
    +
    12
    −
    4
    √

    14
    −
    8

    √

    2
    )
  • (iv)
    (
    3
    2

    √

    5
    +
    12
    −

    √

    14
    −
    8

    √

    2
    )
  • (v)
    (
    3
    2

    √

    7
    +
    12
    −

    √

    14
    −
    8

    √

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