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
√
6
(i)
1
48
√
9
(ii)
1
8
(iii)
1
48
√
6
(iv)
1
48
√
4
(v)
1
48
4
√
6
Question
2
2.
Rationalise the denominator of
1
(
−
√
3
+
√
2
)
(i)
(
−
√
3
−
4
√
2
)
(ii)
(
−
1
−
√
2
)
(iii)
(
−
√
3
−
√
2
)
(iv)
(
−
√
3
−
2
)
(v)
(
−
√
5
−
√
2
)
Question
3
3.
Rationalise the denominator of
1
(
−
√
5
−
3
√
4
)
(i)
(
1
31
√
5
−
6
31
)
(ii)
(
1
31
√
3
−
6
31
)
(iii)
(
1
31
√
5
−
2
11
)
(iv)
(
1
31
√
5
−
6
29
)
(v)
(
1
31
√
7
−
6
31
)
Question
4
4.
Rationalise the denominator of
1
(
−
√
5
−
√
2
−
√
4
)
(i)
(
−
1
31
√
5
−
7
31
√
2
−
6
31
+
4
31
√
12
)
(ii)
(
−
1
31
√
3
−
7
31
√
2
−
6
31
+
4
31
√
10
)
(iii)
(
−
1
31
√
5
−
7
31
√
2
−
2
11
+
4
31
√
10
)
(iv)
(
−
1
31
√
5
−
7
31
√
2
−
6
31
+
4
31
√
10
)
(v)
(
−
1
31
√
5
−
7
31
4
√
2
−
6
31
+
4
31
√
10
)
Question
5
5.
Rationalise the denominator of
1
(
5
√
5
+
3
√
4
+
4
√
2
)
(i)
(
−
95
453
√
5
+
242
453
+
172
453
√
2
−
80
453
√
13
)
(ii)
(
−
95
453
√
5
+
242
455
+
172
453
√
2
−
80
453
√
10
)
(iii)
(
−
95
453
√
5
+
242
453
+
172
453
√
2
−
80
453
√
10
)
(iv)
(
−
95
453
√
5
+
242
453
+
172
453
4
√
2
−
80
453
√
10
)
(v)
(
−
95
453
√
2
+
242
453
+
172
453
√
2
−
80
453
√
10
)
Question
6
6.
Rationalise the denominator of
1
(
3
√
4
+
3
√
3
)
(i)
(
2
7
3
√
2
−
1
7
3
√
12
+
1
7
5
√
9
)
(ii)
(
2
7
3
√
2
−
1
7
3
√
14
+
1
7
3
√
9
)
(iii)
(
2
7
3
√
2
−
1
7
3
√
10
+
1
7
3
√
9
)
(iv)
(
2
7
3
√
2
−
1
7
3
√
12
+
1
7
3
√
9
)
(v)
(
2
7
3
√
2
−
1
7
3
√
12
+
9
7
)
Question
7
7.
(
−
4
√
2
)
÷
6
√
7
=
(i)
(
−
4
3
)
(ii)
(
−
2
21
4
√
14
)
(iii)
(
−
2
21
√
16
)
(iv)
(
−
2
21
√
12
)
(v)
(
−
2
21
√
14
)
Question
8
8.
The rationalising factor of
(
−
6
√
52
)
=
(i)
13
(ii)
4
√
13
(iii)
√
11
(iv)
√
15
(v)
√
13
Question
9
9.
The rationalising factor of
(
9
√
3
+
6
√
5
)
=
(i)
(
9
√
1
3
−
6
√
5
)
(ii)
(
9
√
3
−
30
)
(iii)
(
9
√
3
−
6
√
5
)
(iv)
(
9
√
3
−
6
4
√
5
)
(v)
(
9
√
6
−
6
√
5
)
Question
10
10.
Rationalise the denominator of
(
√
5
−
√
4
)
(
−
√
3
−
√
4
)
=
(i)
(
√
12
−
2
√
3
−
2
√
5
+
4
)
(ii)
(
√
15
−
2
√
3
−
2
√
5
+
7
)
(iii)
(
√
15
−
2
4
√
3
−
2
√
5
+
4
)
(iv)
(
√
15
−
2
√
3
−
2
4
√
5
+
4
)
(v)
(
√
15
−
2
√
3
−
2
√
5
+
4
)
Question
11
11.
Rationalise the denominator of
(
6
√
2
+
5
√
5
)
(
−
3
+
3
√
8
)
=
(i)
(
2
7
√
2
+
5
21
√
5
+
8
7
+
10
21
√
12
)
(ii)
(
2
7
√
1
2
+
5
21
√
5
+
8
7
+
10
21
√
10
)
(iii)
(
2
7
√
2
+
5
21
√
5
+
10
9
+
10
21
√
10
)
(iv)
(
2
7
√
2
+
5
21
√
5
+
8
7
+
10
21
√
10
)
(v)
(
2
7
√
2
+
5
21
4
√
5
+
8
7
+
10
21
√
10
)
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (v)
8) (v)
9) (iii)
10) (v)
11) (iv)
