EduSahara™ Assignment
Name : Rationalising the Denominator
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Rationalise the denominator of
1
8
√
2
(i)
1
16
√
-1
(ii)
1
16
4
√
2
(iii)
1
8
(iv)
1
16
√
4
(v)
1
16
√
2
Question
2
2.
Rationalise the denominator of
1
(
√
9
+
√
8
)
(i)
(
0
−
2
√
2
)
(ii)
(
3
−
2
4
√
2
)
(iii)
(
6
−
2
√
2
)
(iv)
(
3
−
2
√
2
)
(v)
(
3
−
4
)
Question
3
3.
Rationalise the denominator of
1
(
−
6
√
4
−
8
√
5
)
(i)
(
3
44
−
1
22
√
5
)
(ii)
(
5
44
−
1
22
√
5
)
(iii)
(
3
44
−
5
22
)
(iv)
(
3
44
−
1
22
4
√
5
)
(v)
(
1
44
−
1
22
√
5
)
Question
4
4.
Rationalise the denominator of
1
(
−
√
5
+
√
4
−
√
2
)
(i)
(
−
1
31
√
5
+
6
31
−
7
31
4
√
2
−
4
31
√
10
)
(ii)
(
−
1
31
√
5
+
6
31
−
7
31
√
2
−
4
31
√
10
)
(iii)
(
−
1
31
√
2
+
6
31
−
7
31
√
2
−
4
31
√
10
)
(iv)
(
−
1
31
√
5
+
6
31
−
7
31
√
2
−
4
31
√
13
)
(v)
(
−
1
31
√
5
+
2
11
−
7
31
√
2
−
4
31
√
10
)
Question
5
5.
Rationalise the denominator of
1
(
√
4
−
√
2
−
5
√
5
)
(i)
(
−
246
14129
+
127
14129
√
2
−
595
14129
√
5
+
20
14129
√
10
)
(ii)
(
−
246
14129
+
127
14129
4
√
2
−
595
14129
√
5
+
20
14129
√
10
)
(iii)
(
−
248
14129
+
127
14129
√
2
−
595
14129
√
5
+
20
14129
√
10
)
(iv)
(
−
246
14129
+
127
14129
√
2
−
595
14129
√
5
+
20
14129
√
13
)
(v)
(
−
246
14129
+
127
14129
√
2
−
595
14129
4
√
5
+
20
14129
√
10
)
Question
6
6.
Rationalise the denominator of
1
(
−
3
√
5
+
3
√
4
)
(i)
(
−
3
√
25
−
3
√
22
−
2
3
√
2
)
(ii)
(
−
3
√
25
−
3
√
20
−
2
3
√
2
)
(iii)
(
−
3
√
25
−
3
√
20
−
4
)
(iv)
(
−
3
√
25
−
3
√
20
−
2
5
√
2
)
(v)
(
−
3
√
25
−
3
√
17
−
2
3
√
2
)
Question
7
7.
(
−
4
√
3
)
÷
(
−
6
√
2
)
=
(i)
2
(ii)
1
3
√
4
(iii)
1
3
√
6
(iv)
1
3
4
√
6
(v)
1
3
√
8
Question
8
8.
The rationalising factor of
(
−
√
78
)
=
(i)
√
81
(ii)
√
78
(iii)
4
√
78
(iv)
√
76
(v)
78
Question
9
9.
The rationalising factor of
(
√
6
−
7
√
7
)
=
(i)
(
√
6
+
49
)
(ii)
(
√
6
+
7
4
√
7
)
(iii)
(
√
3
+
7
√
7
)
(iv)
(
√
8
+
7
√
7
)
(v)
(
√
6
+
7
√
7
)
Question
10
10.
Rationalise the denominator of
(
√
8
−
√
3
)
(
√
9
−
√
8
)
=
(i)
(
6
√
1
2
−
3
√
3
+
8
−
2
√
6
)
(ii)
(
6
√
2
−
3
√
3
+
8
−
2
√
8
)
(iii)
(
6
√
2
−
3
√
3
+
8
−
2
√
6
)
(iv)
(
6
√
2
−
3
√
3
+
9
−
2
√
6
)
(v)
(
6
√
2
−
3
4
√
3
+
8
−
2
√
6
)
Question
11
11.
Rationalise the denominator of
(
5
√
9
−
4
√
3
)
(
−
4
√
3
+
3
√
7
)
=
(i)
(
4
√
3
−
22
7
+
3
√
7
−
4
5
√
21
)
(ii)
(
4
√
3
−
16
5
+
3
√
7
−
4
5
√
23
)
(iii)
(
4
√
1
3
−
16
5
+
3
√
7
−
4
5
√
21
)
(iv)
(
4
√
3
−
16
5
+
3
4
√
7
−
4
5
√
21
)
(v)
(
4
√
3
−
16
5
+
3
√
7
−
4
5
√
21
)
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (ii)
5) (i)
6) (ii)
7) (iii)
8) (ii)
9) (v)
10) (iii)
11) (v)
