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Standard XII
Mathematics
Question
If
x
+
√
x
+
√
x
+
√
x
+
.
.
.
.
.
=
2
, then x equals?
2
−
√
2
2
+
√
2
2
−
√
3
2
±
√
2
A
2
+
√
2
B
2
−
√
2
C
2
±
√
2
D
2
−
√
3
Open in App
Solution
Verified by Toppr
The correct option is
A
2
−
√
2
x
+
√
x
+
√
x
+
√
x
+
.
.
.
.
.
=
2
⇒
√
x
+
(
√
x
+
√
x
+
.
.
.
.
.
)
=
2
−
x
⇒
√
x
+
(
2
−
x
)
=
2
−
x
⇒
√
2
=
2
−
x
⇒
x
=
2
−
√
2
Hence, Option A is correct.
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11
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