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
9
√
6
(i)
1
54
√
9
(ii)
1
54
4
√
6
(iii)
1
54
√
4
(iv)
1
9
(v)
1
54
√
6
Question
2
2.
Rationalise the denominator of
1
(
√
2
+
√
5
)
(i)
(
−
1
3
√
1
2
+
1
3
√
5
)
(ii)
(
−
1
3
√
2
+
1
3
√
5
)
(iii)
(
−
1
3
√
2
+
5
3
)
(iv)
(
−
1
3
√
4
+
1
3
√
5
)
(v)
(
−
1
3
√
2
+
1
3
4
√
5
)
Question
3
3.
Rationalise the denominator of
1
(
−
5
√
7
−
4
√
4
)
(i)
(
−
5
111
√
7
+
8
111
)
(ii)
(
−
5
111
√
7
+
8
113
)
(iii)
(
−
5
111
√
10
+
8
111
)
(iv)
(
−
5
111
√
5
+
8
111
)
(v)
(
−
5
111
√
7
+
8
109
)
Question
4
4.
Rationalise the denominator of
1
(
−
√
5
+
2
√
2
−
√
3
)
(i)
(
−
1
6
√
3
−
1
15
√
30
−
1
2
)
(ii)
(
−
1
6
√
3
−
1
15
√
27
−
1
10
√
5
)
(iii)
(
−
1
6
√
3
−
1
15
√
30
−
1
10
√
5
)
(iv)
(
−
1
6
√
3
−
1
15
√
30
−
1
10
4
√
5
)
(v)
(
−
1
6
√
3
−
1
15
√
33
−
1
10
√
5
)
Question
5
5.
Rationalise the denominator of
1
(
−
3
√
3
+
4
√
5
−
3
√
4
)
(i)
(
−
267
3599
√
1
3
−
68
3599
√
5
−
426
3599
−
144
3599
√
15
)
(ii)
(
−
267
3599
√
3
−
68
3599
√
5
−
426
3599
−
144
3599
√
18
)
(iii)
(
−
267
3599
√
3
−
68
3599
4
√
5
−
426
3599
−
144
3599
√
15
)
(iv)
(
−
267
3599
√
3
−
68
3599
√
5
−
426
3601
−
144
3599
√
15
)
(v)
(
−
267
3599
√
3
−
68
3599
√
5
−
426
3599
−
144
3599
√
15
)
Question
6
6.
Rationalise the denominator of
1
(
3
√
4
+
3
√
5
)
(i)
(
2
9
3
√
2
−
1
9
3
√
17
+
1
9
3
√
25
)
(ii)
(
2
9
3
√
2
−
1
9
3
√
20
+
25
9
)
(iii)
(
2
9
3
√
2
−
1
9
3
√
20
+
1
9
3
√
25
)
(iv)
(
2
9
3
√
2
−
1
9
3
√
23
+
1
9
3
√
25
)
(v)
(
2
9
3
√
2
−
1
9
3
√
20
+
1
9
5
√
25
)
Question
7
7.
√
6
÷
(
−
8
√
8
)
=
(i)
(
−
3
8
)
(ii)
(
−
1
32
√
15
)
(iii)
(
−
1
32
4
√
12
)
(iv)
(
−
1
32
√
10
)
(v)
(
−
1
32
√
12
)
Question
8
8.
The rationalising factor of
(
−
3
√
59
)
=
(i)
√
59
(ii)
4
√
59
(iii)
√
56
(iv)
59
(v)
√
62
Question
9
9.
The rationalising factor of
(
−
3
√
6
−
9
√
7
)
=
(i)
(
−
3
√
6
+
9
4
√
7
)
(ii)
(
−
3
√
6
+
63
)
(iii)
(
−
3
√
3
+
9
√
7
)
(iv)
(
−
3
√
6
+
9
√
7
)
(v)
(
−
3
√
8
+
9
√
7
)
Question
10
10.
Rationalise the denominator of
(
√
7
−
√
4
)
(
−
√
8
−
√
6
)
=
(i)
(
−
√
11
+
2
√
2
+
1
2
√
42
−
√
6
)
(ii)
(
−
√
14
+
2
4
√
2
+
1
2
√
42
−
√
6
)
(iii)
(
−
√
14
+
2
√
2
+
1
2
√
42
−
√
6
)
(iv)
(
−
√
14
+
2
√
2
+
1
2
√
42
−
√
9
)
(v)
(
−
√
14
+
2
√
2
+
1
2
4
√
42
−
√
6
)
Question
11
11.
Rationalise the denominator of
(
√
3
−
2
√
6
)
(
2
√
4
−
5
√
8
)
=
(i)
(
9
46
√
3
−
1
92
4
√
6
)
(ii)
(
9
46
√
3
−
1
92
√
6
)
(iii)
(
9
46
√
5
−
1
92
√
6
)
(iv)
(
9
46
−
1
92
√
6
)
(v)
(
9
46
√
3
−
3
46
)
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (iii)
5) (v)
6) (iii)
7) (v)
8) (i)
9) (iv)
10) (iii)
11) (ii)
