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Standard IX
Mathematics
Question
If
x
=
2
√
3
+
2
√
2
,
find :
If
x
+
1
x
is equal to
5
√
3
+
3
√
2
m
, then value of
m
is :
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Solution
Verified by Toppr
x
=
2
√
3
+
2
√
2
and
1
x
=
1
2
√
3
+
2
√
2
=
(
2
√
3
−
2
√
2
)
(
2
√
3
−
2
√
2
)
×
(
2
√
3
+
2
√
2
)
=
(
√
3
−
√
2
)
2
.
x
+
1
x
=
2
√
3
+
2
√
2
+
√
3
−
√
2
2
=
(
5
√
3
+
3
√
2
)
2
.
Therefore, value of
m
=
2
.
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Similar Questions
Q1
If
x
=
2
√
3
+
2
√
2
,
find :
If
x
+
1
x
is equal to
5
√
3
+
3
√
2
m
, then value of
m
is :
View Solution
Q2
If
x
=
2
√
3
+
2
√
2
and
1
x
is equal to
√
3
−
√
2
m
, then value of
m
is :
View Solution
Q3
For
x
=
2
√
3
+
2
√
2
,
if
x
+
1
x
is
5
√
3
+
3
√
2
m
then
m
is :
View Solution
Q4
If
x
=
2
√
3
+
2
√
2
and
(
x
+
1
x
)
2
is equal to
93
+
30
√
6
m
, then value of
m
is?
View Solution
Q5
If
5
x
+
1
=
25
x
−
2
; then the value of :
3
x
−
3
×
2
3
−
x
is
2
1
m
.
Value of
m
is
View Solution