EduSahara™ Assignment
Name : Concepts
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a second order surd?
(i)
3
3
√
2
(ii)
(
−
2
4
√
2
)
(iii)
(
−
8
√
6
)
(iv)
6
5
√
8
(v)
7
√
8
Question
2
2.
Which of the following is a cubic surd?
(i)
4
4
√
3
(ii)
(
−
7
√
3
)
(iii)
(
−
3
3
√
9
)
(iv)
8
√
6
(v)
(
−
5
5
√
2
)
Question
3
3.
Which of the following is a biquadratic surd?
(i)
(
−
9
√
4
)
(ii)
8
√
9
(iii)
4
3
√
3
(iv)
(
−
2
5
√
4
)
(v)
3
4
√
5
Question
4
4.
Which of the following is a fifth order surd?
(i)
4
4
√
9
(ii)
7
√
7
(iii)
3
√
5
(iv)
9
3
√
3
(v)
5
5
√
2
Question
5
5.
The order of the surd
1
13
17
√
72
is
(i)
17
(ii)
17
√
72
(iii)
72
(iv)
1
17
(v)
1
13
Question
6
6.
The radicand of the surd
6
13
8
√
76
is
(i)
6
13
(ii)
1
8
(iii)
76
(iv)
8
√
76
(v)
8
Question
7
7.
The rational factor of the surd
1
6
17
√
22
is
(i)
22
(ii)
1
17
(iii)
17
(iv)
17
√
22
(v)
1
6
Question
8
8.
The irrational factor of the surd
8
7
15
√
54
is
(i)
8
7
(ii)
54
(iii)
1
15
(iv)
15
√
54
(v)
15
Question
9
9.
Which of the following is a mixed surd?
(i)
(
3
√
6
+
5
√
2
−
7
√
5
)
(ii)
(
5
√
6
−
7
√
9
)
(iii)
8
(iv)
√
32
(v)
(
3
+
3
√
6
)
Question
10
10.
Which of the following is a pure surd?
(i)
(
√
7
−
4
√
2
−
√
9
)
(ii)
√
6
(iii)
(
−
√
8
+
√
5
)
(iv)
(
1
−
√
5
)
(v)
(
−
1
)
Question
11
11.
Which of the following is a compound surd?
(i)
3
(ii)
(
8
+
9
√
7
)
(iii)
(
−
4
√
8
)
(iv)
√
8
(v)
(
21
+
5
√
7
−
4
√
2
)
Question
12
12.
Which of the following is a binomial surd?
(i)
√
150
(ii)
(
9
+
7
√
2
)
(iii)
(
−
8
√
5
+
9
√
8
−
9
√
3
)
(iv)
(
−
7
)
(v)
(
√
8
+
6
√
6
)
Question
13
13.
The rationalising factor of
2
√
39
=
(i)
√
39
(ii)
39
(iii)
√
37
(iv)
√
42
(v)
4
√
39
Question
14
14.
The rationalising factor of
(
−
9
√
5
+
5
√
9
)
=
(i)
(
−
9
√
5
−
16
)
(ii)
(
−
9
√
3
−
15
)
(iii)
(
−
9
√
5
−
14
)
(iv)
(
−
9
√
8
−
15
)
(v)
(
−
9
√
5
−
15
)
Question
15
15.
The pure surd form of
7
5
√
8
7
=
(i)
√
56
25
(ii)
√
58
25
(iii)
√
54
25
(iv)
56
25
(v)
4
√
56
25
Question
16
16.
The pure surd form of
4
3
3
√
5
3
=
(i)
5
√
320
81
(ii)
3
√
320
81
(iii)
3
√
106
27
(iv)
3
√
322
81
(v)
320
81
Question
17
17.
The mixed surd form of
√
8
35
=
(i)
2
35
4
√
70
(ii)
4
(iii)
2
35
√
70
(iv)
2
35
√
67
(v)
2
35
√
73
Question
18
18.
The conjugate of
(
10
+
9
√
6
)
=
(i)
(
13
−
9
√
6
)
(ii)
(
10
−
9
√
6
)
(iii)
(
10
−
54
)
(iv)
(
10
−
9
4
√
6
)
(v)
(
7
−
9
√
6
)
Question
19
19.
The conjugate of
(
11
√
6
+
13
√
3
)
=
(i)
(
11
√
8
−
13
√
3
)
(ii)
(
11
√
6
−
39
)
(iii)
(
11
√
3
−
13
√
3
)
(iv)
(
11
√
6
−
13
√
3
)
(v)
(
11
√
6
−
13
4
√
3
)
Question
20
20.
4
√
√
10
=
(i)
8
√
13
(ii)
8
√
7
(iii)
4
√
10
3
(iv)
8
√
10
(v)
4
√
10
Question
21
21.
3
√
7
7
=
(i)
(
3
7
)
7
(ii)
7
7
(iii)
(
7
3
)
5
(iv)
(
7
3
)
7
(v)
(
7
3
)
9
Question
22
22.
8
√
5
=
(i)
5
8
(ii)
(
1
8
)
5
(iii)
(
1
8
)
8
(iv)
(
1
6
)
5
(v)
(
1
8
)
3
Question
23
23.
(
1
5
)
6
=
(i)
5
√
8
(ii)
3
√
6
(iii)
1
√
5
6
(iv)
5
√
4
(v)
5
√
6
Question
24
24.
Which of the following lists represent similar surds?
(i)
10
√
15
,
7
√
29
,
4
√
28
,
8
√
11
,
9
√
38
(ii)
6
10
√
16
,
4
10
√
16
,
5
10
√
16
,
6
10
√
16
,
6
10
√
19
(iii)
6
10
√
16
,
6
10
√
16
,
6
10
√
16
,
5
10
√
16
,
4
10
√
16
(iv)
8
√
11
,
4
√
28
,
9
√
38
,
10
√
15
,
7
√
29
(v)
6
10
√
16
,
6
10
√
16
,
6
12
√
16
,
5
10
√
16
,
4
10
√
16
Question
25
25.
Which of the following lists represent dissimilar surds?
(i)
10
√
33
,
7
√
22
,
9
√
40
,
5
√
12
,
4
√
16
(ii)
18
6
√
18
,
7
6
√
18
,
15
6
√
18
,
16
6
√
18
,
4
6
√
18
(iii)
17
4
√
16
,
6
4
√
16
,
14
4
√
16
,
15
4
√
16
,
3
4
√
16
(iv)
16
6
√
14
,
5
6
√
14
,
13
6
√
14
,
14
6
√
14
,
2
6
√
14
(v)
17
8
√
16
,
6
8
√
16
,
14
8
√
16
,
15
8
√
16
,
3
8
√
16
Question
26
26.
Which of the following lists represent similar surds?
(i)
10
√
31
,
6
√
29
,
10
√
22
,
4
√
24
,
8
√
22
(ii)
10
9
√
33
,
2
9
√
35
,
7
9
√
33
,
3
9
√
33
,
8
9
√
33
(iii)
7
9
√
33
,
3
9
√
33
,
2
11
√
33
,
8
9
√
33
,
10
9
√
33
(iv)
4
√
24
,
6
√
29
,
10
√
31
,
10
√
22
,
8
√
22
(v)
7
9
√
33
,
3
9
√
33
,
2
9
√
33
,
8
9
√
33
,
10
9
√
33
Question
27
27.
Which of the following lists represent dissimilar surds?
(i)
3
√
16
,
5
√
40
,
5
√
5
,
3
√
27
,
3
√
32
(ii)
9
6
√
11
,
5
6
√
11
,
2
6
√
11
,
13
6
√
11
,
5
6
√
11
(iii)
9
10
√
11
,
5
10
√
11
,
2
10
√
11
,
13
10
√
11
,
5
10
√
11
(iv)
8
8
√
8
,
4
8
√
8
,
8
√
8
,
12
8
√
8
,
4
8
√
8
(v)
10
8
√
13
,
6
8
√
13
,
3
8
√
13
,
14
8
√
13
,
6
8
√
13
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (v)
5) (i)
6) (iii)
7) (v)
8) (iv)
9) (v)
10) (ii)
11) (v)
12) (v)
13) (i)
14) (v)
15) (i)
16) (ii)
17) (iii)
18) (ii)
19) (iv)
20) (iv)
21) (iv)
22) (ii)
23) (v)
24) (iii)
25) (i)
26) (v)
27) (i)
