MODULE -
1
Exponents and Radicals
Algebra
14.Simplify each of the following:
5
1
−
+
4
48
6
3
(i)
2
3
Notes
+
−
(ii)
63
28
175
+
−
(iii)
8
128
50
15. Which is greater?
(i)
(ii)
3
3
4
2
or
3
6
or
8
16. Arrange in descending order:
(i)
3
4
(ii)
3
, 3
, 4
5
, 2
, 3
4
17. Arrange in ascending order:
3
6
16
,
12
,
320
18. Simplify by rationalising the denominator:
−
3
12
5
2
(i)
(ii)
(iii)
−
−
+
6
7
7
3
5
2
19. Simplify each of the following by rationalising the denominator:
1
1
(i)
(ii)
+
−
+
−
1
2
3
7
5
12
+
5
2
3
=
+
a
b
3
,
20. If
find the values of a and b, where a and b are rational numbers.
+
7
4
3
1
+
=
7 +
x
21. If
, find the value of
.
x
4
3
x
ANSWERS TO CHECK YOUR PROGRESS
2.1
10
20
⎛ −
⎛
⎞
⎞
3
5
⎜
⎟
⎜
⎟
4
1. (i) (–7)
(ii)
(iii)
⎝
⎠
⎝
⎠
4
7
Mathematics Secondary Course
71