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
6
√
9
(i)
(
−
1
18
)
(ii)
1
18
(iii)
1
16
(iv)
1
6
(v)
1
20
Question
2
2.
Rationalise the denominator of
1
(
−
√
3
−
√
9
)
(i)
(
1
6
√
3
−
1
)
(ii)
(
1
6
√
5
−
1
2
)
(iii)
(
1
6
√
3
−
1
2
)
(iv)
(
1
6
√
1
3
−
1
2
)
(v)
(
1
6
√
3
−
1
4
)
Question
3
3.
Rationalise the denominator of
1
(
√
7
−
7
√
6
)
(i)
(
−
1
287
√
9
−
1
41
√
6
)
(ii)
(
−
1
287
√
7
−
6
41
)
(iii)
(
−
1
287
√
5
−
1
41
√
6
)
(iv)
(
−
1
287
√
7
−
1
41
√
6
)
(v)
(
−
1
287
√
7
−
1
41
4
√
6
)
Question
4
4.
Rationalise the denominator of
1
(
−
√
5
+
√
2
−
√
4
)
(i)
(
−
1
31
√
2
+
7
31
√
2
−
6
31
−
4
31
√
10
)
(ii)
(
−
1
31
√
5
+
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
√
13
)
(v)
(
−
1
31
√
5
+
7
31
4
√
2
−
6
31
−
4
31
√
10
)
Question
5
5.
Rationalise the denominator of
1
(
√
4
−
5
√
5
−
3
√
2
)
(i)
(
−
278
10321
−
515
10321
√
5
+
333
10321
√
2
+
60
10321
√
12
)
(ii)
(
−
278
10321
−
515
10321
√
5
+
333
10321
√
2
+
60
10321
√
10
)
(iii)
(
−
278
10321
−
515
10321
4
√
5
+
333
10321
√
2
+
60
10321
√
10
)
(iv)
(
−
278
10321
−
515
10321
√
5
+
333
10321
4
√
2
+
60
10321
√
10
)
(v)
(
−
280
10321
−
515
10321
√
5
+
333
10321
√
2
+
60
10321
√
10
)
Question
6
6.
Rationalise the denominator of
1
(
3
√
2
+
3
√
5
)
(i)
(
1
7
3
√
4
−
1
7
3
√
7
+
1
7
3
√
25
)
(ii)
(
1
7
3
√
4
−
1
7
3
√
10
+
1
7
3
√
25
)
(iii)
(
1
7
3
√
4
−
1
7
3
√
10
+
1
7
5
√
25
)
(iv)
(
1
7
3
√
4
−
1
7
3
√
13
+
1
7
3
√
25
)
(v)
(
1
7
3
√
4
−
1
7
3
√
10
+
25
7
)
Question
7
7.
4
√
2
÷
(
−
3
√
4
)
=
(i)
(
−
2
3
4
√
2
)
(ii)
(
−
2
3
√
2
)
(iii)
(
−
2
3
√
1
2
)
(iv)
(
−
2
3
√
4
)
(v)
(
−
4
3
)
Question
8
8.
The rationalising factor of
3
√
75
=
(i)
√
5
(ii)
1
(iii)
√
3
(iv)
3
(v)
4
√
3
Question
9
9.
The rationalising factor of
(
−
14
√
2
+
√
6
)
=
(i)
(
−
14
√
4
−
√
6
)
(ii)
(
−
14
√
2
−
4
√
6
)
(iii)
(
−
14
√
2
−
6
)
(iv)
(
−
14
√
-1
−
√
6
)
(v)
(
−
14
√
2
−
√
6
)
Question
10
10.
Rationalise the denominator of
(
√
5
+
√
2
)
(
−
√
2
−
√
9
)
=
(i)
(
1
7
√
10
+
2
7
−
3
7
√
5
−
3
7
√
2
)
(ii)
(
1
7
√
10
+
2
7
−
3
7
√
5
−
3
7
√
4
)
(iii)
(
1
7
√
10
+
2
9
−
3
7
√
5
−
3
7
√
2
)
(iv)
(
1
7
√
10
+
2
7
−
3
7
4
√
5
−
3
7
√
2
)
(v)
(
1
7
√
7
+
2
7
−
3
7
√
5
−
3
7
√
2
)
Question
11
11.
Rationalise the denominator of
(
4
√
3
+
5
√
9
)
(
5
√
7
−
4
√
9
)
=
(i)
(
20
31
√
21
+
75
31
√
7
+
48
31
√
3
+
180
31
)
(ii)
(
20
31
√
21
+
75
31
√
7
+
48
31
4
√
3
+
180
31
)
(iii)
(
20
31
√
21
+
75
31
√
7
+
48
31
√
3
+
182
31
)
(iv)
(
20
31
√
18
+
75
31
√
7
+
48
31
√
3
+
180
31
)
(v)
(
20
31
√
21
+
75
31
4
√
7
+
48
31
√
3
+
180
31
)
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (ii)
5) (ii)
6) (ii)
7) (ii)
8) (iii)
9) (v)
10) (i)
11) (i)
