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Standard VII
Mathematics
Types of Fractions
Question
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
√
a
2
−
1
2
√
a
)
2
(
√
a
−
1
√
a
+
1
−
√
a
+
1
√
a
−
1
)
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Solution
Verified by Toppr
(
√
a
2
−
1
2
√
a
)
2
(
√
a
−
1
√
a
+
1
−
√
a
+
1
√
a
−
1
)
=
(
a
−
1
2
√
a
)
2
[
(
√
a
−
1
)
2
−
(
√
a
+
1
)
2
a
−
1
]
=
(
a
−
1
)
2
4
a
−
4
a
(
a
−
1
)
=
(
−
a
+
1
)
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Similar Questions
Q1
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
√
a
2
−
1
2
√
a
)
2
(
√
a
−
1
√
a
+
1
−
√
a
+
1
√
a
−
1
)
View Solution
Q2
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
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Q3
Represent the following mixed infinite decimal periodic fractions as common fractions:
a
−
b
a
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b
+
2
√
a
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:
a
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Q4
Represent the following mixed infinite decimal periodic fractions as common fractions:
2
√
b
√
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+
√
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+
(
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+
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√
a
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1
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a
b
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(
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Q5
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
1
(
a
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/
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+
b
1
/
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)
−
2
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−
(
√
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−
√
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a
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