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Byju's Answer
Standard IX
Mathematics
Rationalisation
If a=√2+1, ...
Question
If
a
=
√
2
+
1
, then find
(
a
−
1
a
)
3
.
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Solution
Given,
a
=
√
2
+
1
.
Now,
1
a
=
1
√
2
+
1
=
√
2
−
1
2
−
1
=
√
2
−
1
.
Now,
a
−
1
a
=
√
2
+
1
−
√
2
+
1
=
2
.
So,
(
a
−
1
a
)
3
=
2
3
=
8
.
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