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Byju's Answer
Standard IX
Mathematics
Identities for Irrational Numbers
Simplify √3−2...
Question
Simplify
√
3
−
2
√
2
.
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Solution
Given,
√
3
−
2
√
2
=
√
3
−
2
√
2
×
√
1
(
√
2
can be written as
√
2
×
√
1
)
=
√
2
+
1
−
2
√
2
×
√
1
=
√
(
√
2
)
2
+
(
√
1
)
2
−
2
√
2
×
√
1
Using identity,
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
=
√
(
√
2
−
√
1
)
2
=
√
2
−
√
1
=
√
2
−
1
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Identities for Irrational Numbers
Standard IX Mathematics
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