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Byju's Answer
Standard IX
Mathematics
Irrational Numbers on the Number Line
√6+√6+√6+√6+....
Question
√
6
+
√
6
+
√
6
+
√
6
+
.
.
.
up to
∞
is?
A
2
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B
3
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C
30
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D
5
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Solution
The correct option is
B
3
We have,
y
=
√
6
+
√
6
+
.
.
.
.
∞
=
√
6
+
y
On squaring both sides, we get
⇒
y
2
−
y
−
6
=
0
⇒
y
=
3
,
−
2
But
y
can not be
−
v
e
.
Hence,
y
=
3
is the answer.
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0
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