Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 29
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37MODULE -
1
Exponents and Radicals
Algebra
1
Example 2.32:
Rationalise the denominator of
.
−
+
3
2
1
(
)
−
−
Notes
3
2
1
1
[
] (
[
]
(
)
)
Solution:
=
−
+
−
+
−
−
3
2
1
3
2
1
3
2
1
−
−
−
−
3
2
1
3
2
1
=
(
)
=
2
−
−
−
4
2
6
3
2
1
−
−
+
3
2
1
4
2
6
×
=
−
+
4
2
6
4
2
6
−
−
+
−
−
4
3
4
2
4
6
2
4
3
2
6
=
−
16
24
−
−
−
+
2
2
6
6
2
2
−
=
=
4
4
+
3
2
2
=
+
a
b
2
,
Example 2.33:
If
find the values of a and b.
−
3
2
+
+
+
+
+
3
2
2
3
2
2
3
2
9
4
9
2
=
×
=
Solution:
−
−
−
+
9
2
3
2
3
2
3
2
+
13
9
2
13
9
=
+
=
+
2
a
b
2
=
7
7
7
13
9
⇒
=
=
a
,
b
7
7
CHECK YOUR PROGRESS 2.10
1. Find the rationalising factor of each of the following:
+
+
2 +
3
2
2
(i)
(ii)
(iii)
3
3
x
y
3
xy
49
1
2. Simplify by rationalising the denominator of each of the following:
−
+
12
2
3
11
5
3
1
(i)
(ii)
(iii)
(iv)
+
−
5
17
11
5
3
1
Mathematics Secondary Course
67
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