EduSahara™ Assignment
Name : Rationalizing Factor
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The rationalising factor of
9
√
81
=
(i)
3
(ii)
2
(iii)
0
(iv)
(
−
1
)
(v)
1
Question
2
2.
Rationalise the denominator of
1
(
−
5
√
3
)
(i)
(
−
1
5
)
(ii)
(
−
1
15
√
1
3
)
(iii)
(
−
1
15
4
√
3
)
(iv)
(
−
1
15
√
3
)
(v)
(
−
1
15
√
6
)
Question
3
3.
Rationalise the denominator of
1
(
−
√
5
+
√
7
)
(i)
(
1
2
√
5
+
7
2
)
(ii)
(
1
2
√
5
+
1
2
4
√
7
)
(iii)
(
1
2
√
5
+
1
2
√
7
)
(iv)
(
1
2
√
8
+
1
2
√
7
)
(v)
(
1
2
√
3
+
1
2
√
7
)
Question
4
4.
Rationalise the denominator of
1
(
14
√
2
+
8
√
4
)
(i)
(
7
68
√
2
−
2
15
)
(ii)
(
7
68
√
5
−
2
17
)
(iii)
(
7
68
√
2
−
2
19
)
(iv)
(
7
68
√
1
2
−
2
17
)
(v)
(
7
68
√
2
−
2
17
)
Question
5
5.
Rationalise the denominator of
1
(
−
√
2
+
√
5
−
√
3
)
(i)
(
−
1
6
√
3
−
1
12
√
30
−
1
4
4
√
2
)
(ii)
(
−
1
6
√
3
−
1
12
√
30
−
1
4
√
2
)
(iii)
(
−
1
6
√
3
−
1
12
√
28
−
1
4
√
2
)
(iv)
(
−
1
6
√
3
−
1
12
√
30
−
1
2
)
(v)
(
−
1
6
√
3
−
1
12
√
33
−
1
4
√
2
)
Question
6
6.
Rationalise the denominator of
1
(
−
√
2
+
2
√
4
−
4
√
5
)
(i)
(
47
1858
√
2
−
66
929
−
62
929
√
5
+
8
929
√
10
)
(ii)
(
47
1858
√
2
−
66
929
−
62
929
√
5
+
8
929
√
12
)
(iii)
(
47
1858
√
2
−
66
929
−
62
929
4
√
5
+
8
929
√
10
)
(iv)
(
47
1858
√
1
2
−
66
929
−
62
929
√
5
+
8
929
√
10
)
(v)
(
47
1858
√
2
−
66
931
−
62
929
√
5
+
8
929
√
10
)
Question
7
7.
Rationalise the denominator of
1
(
3
√
5
+
3
√
4
)
(i)
(
1
9
3
√
25
−
1
9
3
√
17
+
2
9
3
√
2
)
(ii)
(
1
9
3
√
25
−
1
9
3
√
20
+
4
9
)
(iii)
(
1
9
3
√
25
−
1
9
3
√
22
+
2
9
3
√
2
)
(iv)
(
1
9
3
√
25
−
1
9
3
√
20
+
2
9
3
√
2
)
(v)
(
1
9
3
√
25
−
1
9
3
√
20
+
2
9
5
√
2
)
Question
8
8.
Rationalise the denominator of
(
√
9
−
√
7
)
(
√
7
+
√
2
)
=
(i)
(
3
5
√
7
−
7
5
−
3
5
4
√
2
+
1
5
√
14
)
(ii)
(
3
5
√
7
−
7
5
−
3
5
√
2
+
1
5
√
14
)
(iii)
(
3
5
√
5
−
7
5
−
3
5
√
2
+
1
5
√
14
)
(iv)
(
3
5
√
7
−
7
5
−
3
5
√
2
+
1
5
√
16
)
(v)
(
3
5
√
7
−
9
7
−
3
5
√
2
+
1
5
√
14
)
Question
9
9.
Rationalise the denominator of
(
2
√
7
+
2
√
5
)
(
2
√
7
+
4
√
2
)
=
(i)
(
−
9
−
√
35
+
2
√
14
+
2
√
10
)
(ii)
(
−
7
−
√
35
+
2
√
14
+
2
√
12
)
(iii)
(
−
7
−
4
√
35
+
2
√
14
+
2
√
10
)
(iv)
(
−
7
−
√
35
+
2
4
√
14
+
2
√
10
)
(v)
(
−
7
−
√
35
+
2
√
14
+
2
√
10
)
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (v)
5) (ii)
6) (i)
7) (iv)
8) (ii)
9) (v)
