Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 26

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MODULE -
1
Exponents and Radicals
Algebra
=
×
×
=
Solution:
2
50
2
5
5
2
10
2
=
×
×
×
×
=
32
2
2
2
2
2
4
2
Notes
=
×
=
2
72
2
6
2
12
2
∴ Given expression
×
×
=
10
2
4
2
12
2
=
960
2
2.15 COMPARISON OF SURDS
To compare two surds, we first change them to surds of the same order and then compare
their radicands along with their co-efficients. Let us take some examples:
1
1
Example 2.27:
Which is greater
or
3
?
4
3
3
1
1
1
=
=
Solution:
6
6
4
4
64
1
1
=
3
6
3
9
1
1
1
1
1
1
>
>
>
6
6
3
9
64
9
64
3
4
Example 2.28:
Arrange in ascending order:
3
.
6
, 2
3
and
5
Solution:
LCM of 2, 3, and 6 is 6.
=
=
6
2
3
6
2
2
4
=
=
6
3
6
3
3
27
5 =
6
6
5
<
<
Now
6
6
6
4
5
27
<
<
3
6
2
5
3
64
Mathematics Secondary Course

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