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Byju's Answer
Standard IX
Mathematics
Rationalisation
If √2-1√2+1...
Question
If
√
2
−
1
√
2
+
1
=
a
+
b
√
2
then find the values of
a
and
b
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Solution
Given,
√
2
−
1
√
2
+
1
×
√
2
−
1
√
2
−
1
=
a
+
b
√
2
⇒
2
+
1
−
2
√
2
2
−
1
=
a
+
b
√
2
⇒
3
−
2
√
2
1
=
a
+
b
√
2
⇒
3
−
2
√
2
=
a
+
b
√
2
Comparing, we get
a
=
3
,
b
=
−
2
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