EduSahara™ Assignment
Name : Surd Miscellaneous
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a second order surd?
(i)
2
√
9
(ii)
(
−
7
√
5
)
(iii)
7
5
√
4
(iv)
3
3
√
2
(v)
(
−
4
4
√
2
)
Question
2
2.
Which of the following is a cubic surd?
(i)
(
−
9
5
√
9
)
(ii)
(
−
6
√
8
)
(iii)
3
3
√
3
(iv)
(
−
√
7
)
(v)
(
−
7
4
√
3
)
Question
3
3.
Which of the following is a biquadratic surd?
(i)
(
−
7
4
√
6
)
(ii)
(
−
4
5
√
3
)
(iii)
8
3
√
2
(iv)
7
√
2
(v)
5
√
5
Question
4
4.
Which of the following is a fifth order surd?
(i)
(
−
9
4
√
6
)
(ii)
6
√
8
(iii)
8
3
√
8
(iv)
2
5
√
4
(v)
8
√
2
Question
5
5.
The order of the surd
2
13
18
√
58
is
(i)
58
(ii)
18
(iii)
1
18
(iv)
2
13
(v)
18
√
58
Question
6
6.
The rationalising factor of
(
−
√
78
)
=
(i)
4
√
78
(ii)
√
80
(iii)
√
76
(iv)
78
(v)
√
78
Question
7
7.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
3
√
3
(
−
9
√
7
)
=
(i)
0.782
(ii)
1.782
(iii)
-0.218
(iv)
7.782
(v)
6.782
Question
8
8.
11
√
8
✕
11
√
5
=
(i)
11
√
37
(ii)
11
√
42
(iii)
9
√
40
(iv)
13
√
40
(v)
11
√
40
Question
9
9.
2
√
6
✕
5
√
9
=
(i)
√
5400
(ii)
√
5403
(iii)
5400
(iv)
√
5397
(v)
4
√
5400
Question
10
10.
√
2
√
8
=
(i)
√
-1
4
(ii)
√
1
4
(iii)
1
4
(iv)
√
3
4
(v)
4
√
1
4
Question
11
11.
6
3
√
9
3
√
3
=
(i)
3
√
648
(ii)
648
(iii)
5
√
648
(iv)
3
√
651
(v)
3
√
646
Question
12
12.
8
√
18
8
√
15
=
(i)
10
√
6
5
(ii)
6
√
6
5
(iii)
8
√
6
5
(iv)
8
√
8
5
(v)
8
√
4
5
Question
13
13.
9
√
11
5
√
15
=
(i)
297
125
(ii)
√
297
125
(iii)
√
299
125
(iv)
√
59
25
(v)
4
√
297
125
Question
14
14.
4
√
4
√
4
=
(i)
4
√
1
(ii)
16
√
2
(iii)
16
√
4
(iv)
√
4
(v)
16
√
7
Question
15
15.
3
√
9
14
=
(i)
(
3
14
)
9
(ii)
(
14
3
)
7
(iii)
9
14
(iv)
(
14
3
)
9
(v)
(
14
3
)
12
Question
16
16.
11
√
3
=
(i)
(
1
11
)
3
(ii)
(
1
9
)
3
(iii)
1
(iv)
(
1
11
)
5
(v)
3
11
Question
17
17.
(
1
5
)
17
=
(i)
5
√
17
(ii)
5
√
19
(iii)
3
√
17
(iv)
5
√
14
(v)
1
√
5
17
Question
18
18.
Which of the following is an irrational number?
(i)
2
(ii)
19
(iii)
3
√
98
(iv)
19
21
(v)
30.7619
Question
19
19.
Which of the following is a rational number?
(i)
√
70
(ii)
3
√
84
(iii)
√
98
(iv)
5
26
(v)
√
90
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (iv)
5) (ii)
6) (v)
7) (iii)
8) (v)
9) (i)
10) (ii)
11) (i)
12) (iii)
13) (ii)
14) (iii)
15) (iv)
16) (i)
17) (i)
18) (iii)
19) (iv)
