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Byju's Answer
Standard XII
Mathematics
Mean
If the produc...
Question
If the product of
n
positive numbers is unity, then the sum of these numbers can not be less than
A
2
n
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B
n
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C
n
+
1
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D
n
+
7
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Solution
The correct option is
B
n
We know
A
.
M
.
≥
G
.
M
x
1
+
x
2
+
⋯
+
x
n
n
≥
n
√
x
1
x
2
⋯
x
n
(
∵
x
1
x
2
⋯
x
n
=
1
)
⇒
x
1
+
x
2
+
⋯
+
x
n
n
≥
1
∴
x
1
+
x
2
+
⋯
+
x
n
≥
n
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