Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 22
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37MODULE -
1
Exponents and Radicals
Algebra
Solution:
=
×
=
×
=
(i)
, which is a pure surd.
2
2
7
2
7
4
7
28
Notes
=
×
=
×
=
(ii)
, which is a pure surd.
4
4
4
4
4
4
7
4
7
256
7
1792
3
9
=
×
=
32
32
18
(iii)
, which is a pure surd.
4
16
Example 2.21:
Express as a mixed surd in the simplest form:
(i) 128
(ii)
(iii)
6
3
320
250
Solution:
=
×
=
(i)
,
128
64
2
8
2
which is a mixed surd.
=
×
×
×
×
×
×
(ii)
6
320
6
2
2
2
2
2
2
5
=
×
=
, which is a mixed surd.
6
6
6
2
5
2
5
=
×
×
×
=
(iii)
, which is a mixed surd.
3
3
3
250
5
5
5
2
5
2
CHECK YOUR PROGRESS 2.7
1. State which of the following are pairs of similar surds:
(i)
, 8
32
(ii)
5
3
6 ,
18
(iii)
20
,
125
2. Express as a pure surd:
5
24
(i)
(ii)
(iii)
3
7
3
3
16
8
3. Express as a mixed surd in the simplest form:
(i)
(ii)
(iii)
3
3
4
250
243
512
2.14 FOUR FUNDAMENTAL OPERATIONS ON SURDS
2.14.1 Addition and Subtraction of Surds
As in rational numbers, surds are added and subtracted in the same way.
60
Mathematics Secondary Course
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