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Byju's Answer
Standard IX
Mathematics
Rationalization of an Irrational Number
Sort the give...
Question
Sort the given expressions in decreasing order.
(Highest on top)
Given:
a
=
1
3
,
b
=
−
1
3
A
125
b
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B
64
a
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C
(
125
+
64
)
a
+
b
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D
64
b
+
125
a
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Solution
Given:
a
=
1
3
,
b
=
−
1
3
125
b
=
125
−
1
3
=
5
3
(
−
1
3
)
=
1
5
=
0.2
64
a
=
64
1
3
=
4
3
(
1
3
)
= 4
(
125
+
64
)
a
+
b
=
(
189
)
a
+
b
=
(
189
)
1
3
−
1
3
=
(
189
)
0
= 1
64
b
+
125
a
=
64
−
1
3
+
125
1
3
=
4
3
(
−
1
3
)
+
5
3
(
1
3
)
=
1
4
+ 5 =
5.25
Hence,
(
64
b
+
125
a
) > (
64
a
) >
(
125
+
64
)
a
+
b
> (
125
b
)
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