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)
8
3
√
3
(ii)
(
−
5
4
√
5
)
(iii)
3
√
6
(iv)
(
−
5
√
3
)
(v)
(
−
9
√
8
)
Question
2
2.
Which of the following is a cubic surd?
(i)
(
−
4
√
8
)
(ii)
(
−
5
√
8
)
(iii)
(
−
6
3
√
7
)
(iv)
9
√
9
(v)
5
4
√
2
Question
3
3.
Which of the following is a biquadratic surd?
(i)
(
−
4
4
√
3
)
(ii)
(
−
9
3
√
4
)
(iii)
(
−
6
√
7
)
(iv)
6
√
6
(v)
5
5
√
6
Question
4
4.
Which of the following is a fifth order surd?
(i)
(
−
5
√
5
)
(ii)
(
−
6
√
3
)
(iii)
(
−
3
4
√
3
)
(iv)
(
−
2
3
√
5
)
(v)
(
−
2
√
9
)
Question
5
5.
The order of the surd
5
4
20
√
65
is
(i)
20
(ii)
5
4
(iii)
20
√
65
(iv)
65
(v)
1
20
Question
6
6.
The rationalising factor of
(
−
√
44
)
=
(i)
4
√
11
(ii)
√
13
(iii)
√
8
(iv)
11
(v)
√
11
Question
7
7.
If
√
2
= 1.4142,
√
3
= 1.7321,
√
5
= 2.2361,
√
7
= 2.6458,
the value of
√
7
(
−
5
√
10
)
=
(i)
0.833
(ii)
1.833
(iii)
-0.167
(iv)
7.833
(v)
6.833
Question
8
8.
14
√
6
✕
14
√
6
=
(i)
7
√
6
(ii)
5
√
6
(iii)
9
√
6
(iv)
7
√
9
(v)
7
√
4
Question
9
9.
4
√
4
✕
4
√
2
=
(i)
√
2048
(ii)
√
2045
(iii)
2048
(iv)
4
√
2048
(v)
√
2050
Question
10
10.
5
√
8
5
√
4
=
(i)
7
√
2
(ii)
5
√
2
(iii)
5
√
4
(iv)
3
√
2
(v)
5
√
-1
Question
11
11.
6
√
10
8
√
3
=
(i)
15
8
(ii)
√
17
8
(iii)
√
13
8
(iv)
√
15
8
(v)
4
√
15
8
Question
12
12.
3
√
17
3
√
8
=
(i)
17
8
(ii)
5
√
17
8
(iii)
3
√
19
8
(iv)
3
√
17
8
(v)
3
√
15
8
Question
13
13.
9
√
4
4
√
19
=
(i)
√
81
76
(ii)
81
76
(iii)
4
√
81
76
(iv)
√
79
76
(v)
√
83
76
Question
14
14.
4
√
4
√
4
=
(i)
4
√
1
(ii)
√
4
(iii)
1
(iv)
16
√
6
(v)
16
√
4
Question
15
15.
3
√
5
8
=
(i)
(
8
3
)
2
(ii)
5
8
(iii)
(
8
3
)
5
(iv)
(
3
8
)
5
(v)
(
8
3
)
7
Question
16
16.
22
√
10
=
(i)
(
1
22
)
10
(ii)
(
1
20
)
10
(iii)
(
1
22
)
12
(iv)
(
1
22
)
8
(v)
10
22
Question
17
17.
(
1
9
)
15
=
(i)
9
√
18
(ii)
1
√
9
15
(iii)
7
√
15
(iv)
9
√
15
(v)
9
√
13
Question
18
18.
Which of the following is an irrational number?
(i)
1
(ii)
√
85
(iii)
18.1111
(iv)
(-4)
(v)
1
17
Question
19
19.
Which of the following is a rational number?
(i)
√
72
(ii)
√
90
(iii)
√
50
(iv)
3
√
59
(v)
19
22
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (i)
5) (i)
6) (v)
7) (iii)
8) (i)
9) (i)
10) (ii)
11) (iv)
12) (iv)
13) (i)
14) (v)
15) (iii)
16) (i)
17) (iv)
18) (ii)
19) (v)
