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Byju's Answer
Standard IX
Mathematics
Properties and Operations on Real Numbers
If x = 3 + 2 ...
Question
If
x
=
3
+
2
√
2
, then the value of
(
√
x
−
1
√
x
)
= _____.
2
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Solution
The correct option is
A
2
(
√
x
−
1
√
x
)
2
=
x
+
1
x
−
2
Given,
x
=
3
+
2
√
2
Substituting the value of
x
in
x
+
1
x
−
2
,
(
3
+
2
√
2
)
+
1
(
3
+
2
√
2
)
−
2
=
3
+
2
√
2
+
3
−
2
√
2
(
3
+
2
√
2
)
(
3
−
2
√
2
)
−
2
=
3
+
2
√
2
+
3
−
2
√
2
9
−
8
−
2
=
3
+
2
√
2
+
3
−
2
√
2
1
−
2
=
3
+
2
√
2
+
3
−
2
√
2
−
2
=
6
−
2
=
4
Since,
(
√
x
−
1
√
x
)
2
=
4
,
(
√
x
−
1
√
x
)
=
2
.
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0
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