EduSahara™ Assignment
Name : Rationalising the Denominator
Chapter : Real Numbers
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Rationalise the denominator of
1
(
−
3
√
6
)
(i)
(
−
1
3
)
(ii)
(
−
1
18
4
√
6
)
(iii)
(
−
1
18
√
8
)
(iv)
(
−
1
18
√
3
)
(v)
(
−
1
18
√
6
)
Question
2
2.
Rationalise the denominator of
1
(
√
2
+
√
7
)
(i)
(
−
1
5
√
1
2
+
1
5
√
7
)
(ii)
(
−
1
5
√
2
+
1
5
√
7
)
(iii)
(
−
1
5
√
2
+
7
5
)
(iv)
(
−
1
5
√
2
+
1
5
4
√
7
)
(v)
(
−
1
5
√
4
+
1
5
√
7
)
Question
3
3.
The rationalising factor of
(
−
9
√
26
)
=
(i)
√
23
(ii)
4
√
26
(iii)
√
26
(iv)
26
(v)
√
29
Question
4
4.
The rationalising factor of
(
2
√
7
+
√
3
)
=
(i)
(
2
√
7
−
√
3
)
(ii)
(
2
√
7
−
4
√
3
)
(iii)
(
2
√
9
−
√
3
)
(iv)
(
2
√
5
−
√
3
)
(v)
(
2
√
7
−
3
)
Question
5
5.
Rationalise the denominator of
1
(
9
√
2
+
6
√
7
)
(i)
(
−
1
10
√
2
+
1
15
√
7
)
(ii)
(
−
1
10
√
2
+
1
15
4
√
7
)
(iii)
(
−
1
10
√
4
+
1
15
√
7
)
(iv)
(
−
1
10
√
2
+
7
15
)
(v)
(
−
1
10
√
1
2
+
1
15
√
7
)
Question
6
6.
Rationalise the denominator of
(
√
5
+
√
8
)
(
−
√
3
−
√
8
)
=
(i)
(
1
5
√
12
+
2
5
√
6
−
2
5
√
10
−
8
5
)
(ii)
(
1
5
√
15
+
2
5
√
6
−
2
5
4
√
10
−
8
5
)
(iii)
(
1
5
√
15
+
2
5
√
6
−
2
5
√
10
−
6
5
)
(iv)
(
1
5
√
15
+
2
5
4
√
6
−
2
5
√
10
−
8
5
)
(v)
(
1
5
√
15
+
2
5
√
6
−
2
5
√
10
−
8
5
)
Question
7
7.
Rationalise the denominator of
(
−
3
√
5
+
√
3
)
(
−
√
4
+
4
√
3
)
=
(i)
(
−
3
22
√
3
+
1
22
√
3
−
3
11
√
15
+
3
11
)
(ii)
(
−
3
22
√
5
+
1
22
4
√
3
−
3
11
√
15
+
3
11
)
(iii)
(
−
3
22
√
5
+
1
22
√
3
−
3
11
√
15
+
5
11
)
(iv)
(
−
3
22
√
5
+
1
22
√
3
−
3
11
√
15
+
3
11
)
(v)
(
−
3
22
√
5
+
1
22
√
3
−
3
11
4
√
15
+
3
11
)
Question
8
8.
Rationalise the denominator of
1
(
−
√
3
)
(i)
(
−
1
3
4
√
3
)
(ii)
(
−
1
3
√
6
)
(iii)
(
−
1
)
(iv)
(
−
1
3
)
(v)
(
−
1
3
√
3
)
Question
9
9.
Rationalise the denominator of
1
(
√
2
−
√
9
)
(i)
(
−
1
7
√
2
−
3
7
)
(ii)
(
−
1
7
√
1
2
−
3
7
)
(iii)
(
−
1
7
√
2
−
3
5
)
(iv)
(
−
1
7
√
4
−
3
7
)
(v)
(
−
1
7
√
2
−
1
3
)
Question
10
10.
The rationalising factor of
5
√
44
=
(i)
11
(ii)
√
11
(iii)
√
9
(iv)
√
14
(v)
4
√
11
Question
11
11.
The rationalising factor of
(
−
5
√
7
+
6
√
2
)
=
(i)
(
−
5
√
7
−
6
√
2
)
(ii)
(
−
5
√
9
−
6
√
2
)
(iii)
(
−
5
√
7
−
12
)
(iv)
(
−
5
√
5
−
6
√
2
)
(v)
(
−
5
√
7
−
6
4
√
2
)
Question
12
12.
Rationalise the denominator of
1
(
4
√
8
−
3
√
6
)
(i)
(
4
37
√
2
+
3
74
4
√
6
)
(ii)
(
4
37
√
1
2
+
3
74
√
6
)
(iii)
(
4
37
√
4
+
3
74
√
6
)
(iv)
(
4
37
√
2
+
9
37
)
(v)
(
4
37
√
2
+
3
74
√
6
)
Question
13
13.
Rationalise the denominator of
(
−
√
8
−
√
3
)
(
√
6
−
√
8
)
=
(i)
(
√
12
+
1
2
4
√
18
+
4
+
√
6
)
(ii)
(
√
12
+
1
2
√
18
+
4
+
√
6
)
(iii)
(
√
12
+
1
2
√
18
+
4
+
√
9
)
(iv)
(
√
12
+
1
2
√
18
+
5
+
√
6
)
(v)
(
√
9
+
1
2
√
18
+
4
+
√
6
)
Question
14
14.
Rationalise the denominator of
(
4
√
9
+
5
√
2
)
(
−
5
√
5
−
3
√
6
)
=
(i)
(
−
60
71
√
5
−
25
71
√
10
+
36
71
4
√
6
+
15
71
√
12
)
(ii)
(
−
60
71
√
5
−
25
71
√
10
+
36
71
√
6
+
15
71
√
14
)
(iii)
(
−
60
71
√
5
−
25
71
√
10
+
36
71
√
6
+
15
71
√
12
)
(iv)
(
−
60
71
√
5
−
25
71
4
√
10
+
36
71
√
6
+
15
71
√
12
)
(v)
(
−
60
71
√
2
−
25
71
√
10
+
36
71
√
6
+
15
71
√
12
)
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (i)
5) (i)
6) (v)
7) (iv)
8) (v)
9) (i)
10) (ii)
11) (i)
12) (v)
13) (ii)
14) (iii)
