Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 23
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37MODULE -
1
Exponents and Radicals
Algebra
(
)
+
=
+
=
For example,
5
3
17
3
5
17
3
22
3
[
]
−
=
−
=
and
12
5
7
5
12
7
5
5
5
Notes
For adding and subtracting surds, we first change them to similar surds and then perform
the operations.
50 +
For example
i)
288
×
×
+
×
×
=
5
5
2
12
12
2
(
)
+
=
+
=
=
5
2
12
2
2
5
12
17
2
98 −
ii)
18
×
×
−
×
×
=
7
7
2
3
3
2
(
)
−
=
−
=
=
7
2
3
2
7
3
2
4
2
Example 2.22:
Simplify each of the following:
+
(i)
4
6
2
54
−
(ii)
45
6
3
216
+
Solution:
(i)
4
6
2
54
+
×
×
=
4
6
2
3
3
6
+
=
=
4
6
6
6
10
6
−
(ii)
45
6
3
216
−
×
×
=
45
6
3
6
6
6
−
=
45
6
18
6
=
27
6
Example 2.23:
Show that
−
+
−
=
24
45
16
20
245
47
5
0
−
+
−
Solution:
24
45
16
20
245
47
5
Mathematics Secondary Course
61
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