Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 19
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37MODULE -
1
Exponents and Radicals
Algebra
=
(ii)
n
n
n
a
b
ab
n
a
a
=
n
(iii)
Notes
n
b
b
where a and b are positive rational numbers and n is a positive integer.
Let us take some examples to illustrate.
Example 2.19:
Which of the following are surds and which are not? Use laws of radicals
to ascertain.
5 ×
÷
(i)
(ii)
80
2
15
4
10
4 ×
32 ÷
(iii)
(iv)
3
3
16
27
×
=
×
=
=
Solution:
(i)
.
5
80
5
80
400
20
which is a rational number.
∴
5 ×
is not a surd.
80
2
15
15
÷
=
=
2
15
4
10
(ii)
4
10
2
10
15
15
3
=
=
=
, which is irrational.
×
×
8
2
2
10
40
∴
÷
is a surd.
2
15
4
10
×
=
=
⇒
(iii)
It is not a surd.
3
3
3
4
16
64
4
32
32
÷
=
=
32
27
(iv)
, which is irrational
27
27
∴
32 ÷
is a surd.
27
CHECK YOUR PROGRESS 2.6
1. For each of the following, write index and the radicand:
4
6
(i)
64
(ii)
343
(iii)
119
Mathematics Secondary Course
57
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