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
(
−
4
√
2
)
(i)
(
−
1
8
4
√
2
)
(ii)
(
−
1
8
√
1
2
)
(iii)
(
−
1
4
)
(iv)
(
−
1
8
√
2
)
(v)
(
−
1
8
√
5
)
Question
2
2.
Rationalise the denominator of
1
(
−
√
7
+
√
3
)
(i)
(
−
1
4
√
5
−
1
4
√
3
)
(ii)
(
−
1
4
√
7
−
1
4
4
√
3
)
(iii)
(
−
1
4
√
9
−
1
4
√
3
)
(iv)
(
−
1
4
√
7
−
1
4
√
3
)
(v)
(
−
1
4
√
7
−
3
4
)
Question
3
3.
Rationalise the denominator of
1
(
3
√
5
−
5
√
9
)
(i)
(
−
1
60
√
5
−
1
12
)
(ii)
(
−
1
60
√
2
−
1
12
)
(iii)
(
−
1
60
√
5
−
1
14
)
(iv)
(
−
1
60
√
5
−
1
10
)
(v)
(
−
1
60
√
7
−
1
12
)
Question
4
4.
Rationalise the denominator of
1
(
√
3
−
√
5
+
√
2
)
(i)
(
1
4
√
2
+
1
12
√
30
+
1
2
)
(ii)
(
1
4
√
2
+
1
12
√
30
+
1
6
4
√
3
)
(iii)
(
1
4
√
2
+
1
12
√
30
+
1
6
√
3
)
(iv)
(
1
4
√
2
+
1
12
√
32
+
1
6
√
3
)
(v)
(
1
4
√
2
+
1
12
√
28
+
1
6
√
3
)
Question
5
5.
Rationalise the denominator of
1
(
2
√
2
+
5
√
3
−
2
√
5
)
(i)
(
−
58
523
√
1
2
+
235
1569
√
3
+
42
523
√
5
−
40
1569
√
30
)
(ii)
(
−
58
523
√
2
+
235
1569
√
3
+
42
523
√
5
−
40
1569
√
30
)
(iii)
(
−
58
523
√
2
+
235
1569
√
3
+
42
523
4
√
5
−
40
1569
√
30
)
(iv)
(
−
58
523
√
2
+
235
1569
√
3
+
42
523
√
5
−
40
1569
√
32
)
(v)
(
−
58
523
√
2
+
235
1569
4
√
3
+
42
523
√
5
−
40
1569
√
30
)
Question
6
6.
Rationalise the denominator of
1
(
−
3
√
2
−
3
√
4
)
(i)
(
−
1
6
3
√
4
+
1
3
−
2
3
)
(ii)
(
−
1
6
3
√
4
+
1
3
−
1
3
5
√
2
)
(iii)
(
−
1
6
3
√
4
+
1
−
1
3
3
√
2
)
(iv)
(
−
1
6
3
√
4
+
1
3
−
1
3
3
√
2
)
(v)
(
−
1
6
3
√
4
−
1
3
−
1
3
3
√
2
)
Question
7
7.
(
−
8
√
9
)
÷
6
√
7
=
(i)
(
−
4
7
√
4
)
(ii)
(
−
4
7
√
7
)
(iii)
(
−
4
)
(iv)
(
−
4
7
4
√
7
)
(v)
(
−
4
7
√
9
)
Question
8
8.
The rationalising factor of
6
√
34
=
(i)
4
√
34
(ii)
√
34
(iii)
34
(iv)
√
31
(v)
√
37
Question
9
9.
The rationalising factor of
(
8
√
8
+
3
√
4
)
=
(i)
(
16
√
2
−
5
)
(ii)
(
16
√
2
−
6
)
(iii)
(
16
√
4
−
6
)
(iv)
(
16
√
1
2
−
6
)
(v)
(
16
√
2
−
7
)
Question
10
10.
Rationalise the denominator of
(
−
√
5
+
√
6
)
(
−
√
9
−
√
3
)
=
(i)
(
1
2
√
5
−
1
2
√
6
−
1
6
√
15
+
1
6
√
18
)
(ii)
(
1
2
√
5
−
1
2
√
6
−
1
6
√
15
+
1
6
√
20
)
(iii)
(
1
2
√
5
−
1
2
4
√
6
−
1
6
√
15
+
1
6
√
18
)
(iv)
(
1
2
√
2
−
1
2
√
6
−
1
6
√
15
+
1
6
√
18
)
(v)
(
1
2
√
5
−
1
2
√
6
−
1
6
4
√
15
+
1
6
√
18
)
Question
11
11.
Rationalise the denominator of
(
9
+
4
√
6
)
(
−
2
√
5
+
4
√
7
)
=
(i)
(
9
46
√
5
+
2
23
√
30
+
9
23
√
7
+
4
23
√
44
)
(ii)
(
9
46
√
3
+
2
23
√
30
+
9
23
√
7
+
4
23
√
42
)
(iii)
(
9
46
√
5
+
2
23
√
30
+
9
23
4
√
7
+
4
23
√
42
)
(iv)
(
9
46
√
5
+
2
23
√
30
+
9
23
√
7
+
4
23
√
42
)
(v)
(
9
46
√
5
+
2
23
4
√
30
+
9
23
√
7
+
4
23
√
42
)
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (iii)
5) (ii)
6) (iv)
7) (ii)
8) (ii)
9) (ii)
10) (i)
11) (iv)
