Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 27
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37MODULE -
1
Exponents and Radicals
Algebra
CHECK YOUR PROGRESS 2.9
1. Multipliy
.
3
3
32
and
5
4
Notes
2. Multipliy
.
3
3
and
5
3. Divide
.
3
3
135
by
5
4. Divide
.
3
2
24
by
320
5. Which is greater
?
4
3
5
or
4
6. Which in smaller:
?
5
4
10
or
9
7. Arrange in ascending order:
3
6
3
, 2
, 3
4
8. Arrange in descending order:
3
3
4
, 2
, 3
4
2.16 RATIONALISATION OF SURDS
Consider the products:
1
1
(i)
×
=
3
2
3
2
3
7
4
(ii)
×
=
11
11
5
5
5
1
3
(iii)
×
=
7
4
7
4
7
In each of the above three multiplications, we see that on multiplying two surds, we get the
result as rational number. In such cases, each surd is called the rationalising factor of the
other surd.
(i) 3 is a rationalising factor of 3 and vice-versa.
(ii)
5 is a rationalising factor of
5 and vice-versa.
4
7
11
11
(iii)
7 is a rationalising factor of
and vice-versa.
4
4
3
7
Mathematics Secondary Course
65
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