EduSahara™ Assignment
Name : Comparison and Sorting
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following is true?
  • (i)

    √


    3
    >

    √


    7
  • (ii)

    √


    3
    >

    √


    6
  • (iii)

    √


    3
    <

    √


    8
  • (iv)

    √


    6
    >

    √


    8
  • (v)

    √


    2
    >

    √


    8
Question 2
2.
    • Sort the following surd terms in ascending order

    • √


      10
      ,

      √


      4
      ,

      √


      14
      ,

      √


      4
      ,

      √


      4
  • (i)

    √


    4
    ,

    √


    4
    ,

    √


    4
    ,

    √


    10
    ,

    √


    14
  • (ii)

    √


    4
    ,

    √


    4
    ,

    √


    4
    ,

    √


    14
    ,

    √


    10
  • (iii)

    √


    4
    ,

    √


    10
    ,

    √


    4
    ,

    √


    4
    ,

    √


    14
  • (iv)

    √


    14
    ,

    √


    10
    ,

    √


    4
    ,

    √


    4
    ,

    √


    4
  • (v)

    √


    14
    ,

    √


    4
    ,

    √


    4
    ,

    √


    4
    ,

    √


    10
Question 3
3.
    • Sort the following surd terms in ascending order
    • 2

      √


      11
      ,
      6

      √


      2
      ,
      2

      √


      2
      ,
      5

      √


      9
      ,
      8

      √


      8
  • (i)
    5

    √


    9
    ,
    2

    √


    2
    ,
    6

    √


    2
    ,
    8

    √


    8
    ,
    2

    √


    11
  • (ii)
    2

    √


    2
    ,
    2

    √


    11
    ,
    6

    √


    2
    ,
    5

    √


    9
    ,
    8

    √


    8
  • (iii)
    2

    √


    11
    ,
    2

    √


    2
    ,
    8

    √


    8
    ,
    5

    √


    9
    ,
    6

    √


    2
  • (iv)
    8

    √


    8
    ,
    5

    √


    9
    ,
    2

    √


    2
    ,
    2

    √


    11
    ,
    6

    √


    2
  • (v)
    2

    √


    11
    ,
    8

    √


    8
    ,
    2

    √


    2
    ,
    6

    √


    2
    ,
    5

    √


    9
Question 4
4.
    • Sort the following surd terms in ascending order
    • 3
      √


      3
      ,
      7
      √


      3
      ,

      √


      3
      ,
      3
      √


      3
      ,
      8
      √


      3
  • (i)

    √


    3
    ,
    7
    √


    3
    ,
    3
    √


    3
    ,
    8
    √


    3
    ,
    3
    √


    3
  • (ii)

    √


    3
    ,
    8
    √


    3
    ,
    7
    √


    3
    ,
    3
    √


    3
    ,
    3
    √


    3
  • (iii)
    8
    √


    3
    ,
    7
    √


    3
    ,
    3
    √


    3
    ,
    3
    √


    3
    ,

    √


    3
  • (iv)
    3
    √


    3
    ,
    8
    √


    3
    ,
    7
    √


    3
    ,
    3
    √


    3
    ,

    √


    3
  • (v)

    √


    3
    ,
    3
    √


    3
    ,
    8
    √


    3
    ,
    3
    √


    3
    ,
    7
    √


    3
Question 5
5.
    • Sort the following surd terms in ascending order
    • 6

      √


      3
      ,
      3

      √


      3
      ,
      5
      3
      √


      3
      ,
      7
      3
      √


      3
      ,
      8
      3
      √


      3
  • (i)
    5
    3
    √


    3
    ,
    6

    √


    3
    ,
    7
    3
    √


    3
    ,
    8
    3
    √


    3
    ,
    3

    √


    3
  • (ii)
    6

    √


    3
    ,
    7
    3
    √


    3
    ,
    3

    √


    3
    ,
    5
    3
    √


    3
    ,
    8
    3
    √


    3
  • (iii)
    3

    √


    3
    ,
    7
    3
    √


    3
    ,
    5
    3
    √


    3
    ,
    6

    √


    3
    ,
    8
    3
    √


    3
  • (iv)
    3

    √


    3
    ,
    5
    3
    √


    3
    ,
    7
    3
    √


    3
    ,
    6

    √


    3
    ,
    8
    3
    √


    3
  • (v)
    6

    √


    3
    ,
    7
    3
    √


    3
    ,
    3

    √


    3
    ,
    8
    3
    √


    3
    ,
    5
    3
    √


    3
Question 6
6.
    • Sort the following surd terms in ascending order

    • √


      7
      ,
      4
      √


      3
      ,
      4
      √


      5
      ,

      √


      2
      ,

      √


      3
  • (i)
    4
    √


    3
    ,

    √


    2
    ,
    4
    √


    5
    ,

    √


    3
    ,

    √


    7
  • (ii)
    4
    √


    5
    ,

    √


    2
    ,

    √


    3
    ,
    4
    √


    3
    ,

    √


    7
  • (iii)

    √


    3
    ,

    √


    2
    ,

    √


    7
    ,
    4
    √


    3
    ,
    4
    √


    5
  • (iv)
    4
    √


    3
    ,

    √


    3
    ,

    √


    7
    ,

    √


    2
    ,
    4
    √


    5
  • (v)

    √


    7
    ,

    √


    2
    ,
    4
    √


    3
    ,

    √


    3
    ,
    4
    √


    5
Question 7
7.
    • Sort the following surd terms in ascending order
    • 6

      √


      7
      ,
      6

      √


      3
      ,
      9

      √


      7
      ,
      7

      √


      3
      ,
      3
      √


      6
  • (i)
    3
    √


    6
    ,
    6

    √


    3
    ,
    7

    √


    3
    ,
    6

    √


    7
    ,
    9

    √


    7
  • (ii)
    6

    √


    7
    ,
    7

    √


    3
    ,
    3
    √


    6
    ,
    9

    √


    7
    ,
    6

    √


    3
  • (iii)
    9

    √


    7
    ,
    3
    √


    6
    ,
    7

    √


    3
    ,
    6

    √


    3
    ,
    6

    √


    7
  • (iv)
    9

    √


    7
    ,
    6

    √


    7
    ,
    3
    √


    6
    ,
    6

    √


    3
    ,
    7

    √


    3
  • (v)
    7

    √


    3
    ,
    6

    √


    7
    ,
    9

    √


    7
    ,
    3
    √


    6
    ,
    6

    √


    3
Question 8
8.
    • Sort the following surd terms in descending order

    • √


      13
      ,

      √


      7
      ,

      √


      5
      ,

      √


      10
      ,

      √


      15
  • (i)

    √


    5
    ,

    √


    10
    ,

    √


    15
    ,

    √


    7
    ,

    √


    13
  • (ii)

    √


    5
    ,

    √


    15
    ,

    √


    7
    ,

    √


    13
    ,

    √


    10
  • (iii)

    √


    15
    ,

    √


    10
    ,

    √


    5
    ,

    √


    7
    ,

    √


    13
  • (iv)

    √


    7
    ,

    √


    5
    ,

    √


    10
    ,

    √


    15
    ,

    √


    13
  • (v)

    √


    15
    ,

    √


    13
    ,

    √


    10
    ,

    √


    7
    ,

    √


    5
Question 9
9.
    • Sort the following surd terms in descending order

    • √


      4
      ,

      √


      15
      ,
      5

      √


      8
      ,
      4

      √


      11
      ,

      √


      3
  • (i)

    √


    3
    ,
    5

    √


    8
    ,
    4

    √


    11
    ,

    √


    4
    ,

    √


    15
  • (ii)
    5

    √


    8
    ,

    √


    15
    ,

    √


    4
    ,

    √


    3
    ,
    4

    √


    11
  • (iii)

    √


    15
    ,
    4

    √


    11
    ,

    √


    4
    ,

    √


    3
    ,
    5

    √


    8
  • (iv)
    4

    √


    11
    ,

    √


    15
    ,

    √


    3
    ,

    √


    4
    ,
    5

    √


    8
  • (v)
    5

    √


    8
    ,
    4

    √


    11
    ,

    √


    15
    ,

    √


    4
    ,

    √


    3
Question 10
10.
    • Sort the following surd terms in descending order

    • √


      3
      ,
      7
      √


      3
      ,
      8
      √


      3
      ,

      √


      3
      ,
      5
      √


      3
  • (i)
    5
    √


    3
    ,

    √


    3
    ,

    √


    3
    ,
    7
    √


    3
    ,
    8
    √


    3
  • (ii)

    √


    3
    ,

    √


    3
    ,
    5
    √


    3
    ,
    7
    √


    3
    ,
    8
    √


    3
  • (iii)

    √


    3
    ,

    √


    3
    ,
    5
    √


    3
    ,
    8
    √


    3
    ,
    7
    √


    3
  • (iv)
    8
    √


    3
    ,

    √


    3
    ,
    7
    √


    3
    ,
    5
    √


    3
    ,

    √


    3
  • (v)
    5
    √


    3
    ,
    8
    √


    3
    ,

    √


    3
    ,

    √


    3
    ,
    7
    √


    3
Question 11
11.
    • Sort the following surd terms in descending order
    • 2
      3
      √


      3
      ,
      2
      3
      √


      3
      ,
      3
      3
      √


      3
      ,
      2

      √


      3
      ,
      3
      3
      √


      3
  • (i)
    2

    √


    3
    ,
    3
    3
    √


    3
    ,
    2
    3
    √


    3
    ,
    2
    3
    √


    3
    ,
    3
    3
    √


    3
  • (ii)
    3
    3
    √


    3
    ,
    2
    3
    √


    3
    ,
    2
    3
    √


    3
    ,
    3
    3
    √


    3
    ,
    2

    √


    3
  • (iii)
    3
    3
    √


    3
    ,
    3
    3
    √


    3
    ,
    2

    √


    3
    ,
    2
    3
    √


    3
    ,
    2
    3
    √


    3
  • (iv)
    2
    3
    √


    3
    ,
    2

    √


    3
    ,
    2
    3
    √


    3
    ,
    3
    3
    √


    3
    ,
    3
    3
    √


    3
Question 12
12.
    • Sort the following surd terms in descending order
    • 4
      √


      9
      ,

      √


      3
      ,

      √


      5
      ,
      4
      √


      8
      ,

      √


      6
  • (i)

    √


    6
    ,
    4
    √


    8
    ,

    √


    3
    ,
    4
    √


    9
    ,

    √


    5
  • (ii)

    √


    6
    ,

    √


    5
    ,
    4
    √


    9
    ,

    √


    3
    ,
    4
    √


    8
  • (iii)

    √


    5
    ,
    4
    √


    9
    ,

    √


    3
    ,
    4
    √


    8
    ,

    √


    6
  • (iv)
    4
    √


    9
    ,

    √


    6
    ,
    4
    √


    8
    ,

    √


    5
    ,

    √


    3
  • (v)

    √


    3
    ,

    √


    6
    ,

    √


    5
    ,
    4
    √


    9
    ,
    4
    √


    8
Question 13
13.
    • Sort the following surd terms in descending order
    • 4
      3
      √


      2
      ,
      3
      3
      √


      7
      ,
      9

      √


      8
      ,
      6
      3
      √


      9
      ,
      2
      3
      √


      5
  • (i)
    3
    3
    √


    7
    ,
    2
    3
    √


    5
    ,
    4
    3
    √


    2
    ,
    6
    3
    √


    9
    ,
    9

    √


    8
  • (ii)
    9

    √


    8
    ,
    6
    3
    √


    9
    ,
    3
    3
    √


    7
    ,
    4
    3
    √


    2
    ,
    2
    3
    √


    5
  • (iii)
    6
    3
    √


    9
    ,
    2
    3
    √


    5
    ,
    4
    3
    √


    2
    ,
    3
    3
    √


    7
    ,
    9

    √


    8
  • (iv)
    4
    3
    √


    2
    ,
    3
    3
    √


    7
    ,
    9

    √


    8
    ,
    6
    3
    √


    9
    ,
    2
    3
    √


    5
  • (v)
    6
    3
    √


    9
    ,
    3
    3
    √


    7
    ,
    2
    3
    √


    5
    ,
    4
    3
    √


    2
    ,
    9

    √


    8
Question 14
14.
Which of the following is true?
  • (i)

    √


    2
    <

    √


    5
  • (ii)

    √


    6
    >

    √


    9
  • (iii)

    √


    6
    <

    √


    5
  • (iv)

    √


    6
    >

    √


    7
  • (v)

    √


    10
    <

    √


    5
    Assignment Key

  •  1) (iii)
  •  2) (i)
  •  3) (ii)
  •  4) (iii)
  •  5) (iv)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (v)
  •  10) (ii)
  •  11) (iii)
  •  12) (ii)
  •  13) (ii)
  •  14) (i)