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Byju's Answer
Standard X
Mathematics
Number Theory: Interesting Results
If √5-√2√5+...
Question
If
√
5
−
√
2
√
5
+
√
2
=
7
+
b
√
10
a
. Then
(
a
+
b
)
is
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Solution
Given:
√
5
−
√
2
√
5
+
√
2
=
7
+
b
√
1
0
a
R
a
t
i
o
n
a
l
i
s
e
L
H
S
⇒
√
5
−
√
2
√
5
+
√
2
×
√
5
−
√
2
√
5
−
√
2
=
7
+
b
√
1
0
a
=
(
√
5
−
√
2
)
2
(
√
5
+
√
2
)
×
(
√
5
−
√
2
)
=
7
+
b
√
1
0
a
=
5
+
2
−
2
√
1
0
(
√
5
)
2
+
(
√
2
)
2
=
7
+
b
√
1
0
a
⇒
7
+
(
−
2
√
1
0
)
3
=
7
+
b
√
1
0
a
Compare respective term of LHS and RHS
a
=
3
a
n
d
b
=
−
2
Hence,
a
+
b
=
1
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0
Similar questions
Q.
Let
U
=
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
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,
10
}
. If
A
=
{
1
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and
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then
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a
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b
greater than
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2
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6
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−
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?
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If
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5
+
7
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⋯
upto
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H.C.F.
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a
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=
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, then the value of
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a
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