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
√
5
)
(i)
(
−
1
45
4
√
5
)
(ii)
(
−
1
45
√
2
)
(iii)
(
−
1
9
)
(iv)
(
−
1
45
√
8
)
(v)
(
−
1
45
√
5
)
Question
2
2.
Rationalise the denominator of
1
(
−
√
7
+
√
4
)
(i)
(
−
1
3
√
7
−
2
5
)
(ii)
(
−
1
3
√
7
−
2
)
(iii)
(
−
1
3
√
9
−
2
3
)
(iv)
(
−
1
3
√
7
−
2
3
)
(v)
(
−
1
3
√
4
−
2
3
)
Question
3
3.
Rationalise the denominator of
1
(
9
√
2
−
7
√
3
)
(i)
(
3
5
√
5
+
7
15
√
3
)
(ii)
(
3
5
√
2
+
7
15
√
3
)
(iii)
(
3
5
√
2
+
7
15
4
√
3
)
(iv)
(
3
5
√
2
+
7
5
)
(v)
(
3
5
√
-1
+
7
15
√
3
)
Question
4
4.
Rationalise the denominator of
1
(
−
√
4
+
√
2
+
√
3
)
(i)
(
−
4
23
+
5
23
√
2
+
3
23
√
3
+
4
23
√
6
)
(ii)
(
−
2
23
+
5
23
√
2
+
3
23
√
3
+
4
23
√
6
)
(iii)
(
−
2
23
+
5
23
√
2
+
3
23
√
3
+
4
23
√
9
)
(iv)
(
−
2
23
+
5
23
√
2
+
3
23
4
√
3
+
4
23
√
6
)
(v)
(
−
2
23
+
5
23
4
√
2
+
3
23
√
3
+
4
23
√
6
)
Question
5
5.
Rationalise the denominator of
1
(
8
−
2
√
5
+
3
√
2
)
(i)
(
−
52
191
−
31
191
√
5
+
99
382
4
√
2
+
24
191
√
10
)
(ii)
(
−
52
191
−
31
191
√
5
+
99
382
√
2
+
24
191
√
13
)
(iii)
(
−
54
191
−
31
191
√
5
+
99
382
√
2
+
24
191
√
10
)
(iv)
(
−
52
191
−
31
191
√
5
+
99
382
√
2
+
24
191
√
10
)
(v)
(
−
52
191
−
31
191
4
√
5
+
99
382
√
2
+
24
191
√
10
)
Question
6
6.
Rationalise the denominator of
1
(
3
√
2
+
3
√
3
)
(i)
(
1
5
3
√
4
−
1
5
3
√
9
+
1
5
3
√
9
)
(ii)
(
1
5
3
√
4
−
1
5
3
√
6
+
9
5
)
(iii)
(
1
5
3
√
4
−
1
5
3
√
6
+
1
5
5
√
9
)
(iv)
(
1
5
3
√
4
−
1
5
3
√
6
+
1
5
3
√
9
)
(v)
(
1
5
3
√
4
−
1
5
3
√
4
+
1
5
3
√
9
)
Question
7
7.
(
−
√
5
)
÷
5
√
5
=
(i)
1
5
(ii)
(
−
1
3
)
(iii)
(
−
1
7
)
(iv)
(
−
1
5
)
(v)
(
−
3
5
)
Question
8
8.
The rationalising factor of
(
−
√
44
)
=
(i)
11
(ii)
√
11
(iii)
√
14
(iv)
4
√
11
(v)
√
9
Question
9
9.
The rationalising factor of
(
9
+
6
√
7
)
=
(i)
(
9
−
6
√
7
)
(ii)
(
6
−
6
√
7
)
(iii)
(
12
−
6
√
7
)
(iv)
(
9
−
6
4
√
7
)
(v)
(
9
−
42
)
Question
10
10.
Rationalise the denominator of
(
√
5
+
√
8
)
(
√
7
+
√
6
)
=
(i)
(
√
35
+
2
4
√
14
−
√
30
−
2
√
12
)
(ii)
(
√
32
+
2
√
14
−
√
30
−
2
√
12
)
(iii)
(
√
35
+
2
√
14
−
4
√
30
−
2
√
12
)
(iv)
(
√
35
+
2
√
14
−
√
30
−
2
√
12
)
(v)
(
√
35
+
2
√
14
−
√
30
−
2
√
15
)
Question
11
11.
Rationalise the denominator of
(
√
7
+
4
√
4
)
(
5
√
2
+
√
7
)
=
(i)
(
5
43
√
14
+
40
43
√
2
−
7
43
−
8
43
√
9
)
(ii)
(
5
43
√
14
+
40
43
√
2
−
7
43
−
8
43
√
7
)
(iii)
(
5
43
√
14
+
40
43
4
√
2
−
7
43
−
8
43
√
7
)
(iv)
(
5
43
√
12
+
40
43
√
2
−
7
43
−
8
43
√
7
)
(v)
(
5
43
√
14
+
40
43
√
2
−
7
45
−
8
43
√
7
)
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (ii)
5) (iv)
6) (iv)
7) (iv)
8) (ii)
9) (i)
10) (iv)
11) (ii)
