√12-√12-√12=?
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Answer:
First of all, consider the whole equation equals
x
√
12
+
√
12
+
√
12
...
.
=
x
We can also write it as
√
12
+
x
=
x
As, the
x
is nested into it. Solve it
→
√
12
+
x
=
x
Square both sides
→
12
+
x
=
x
2
→
x
2
−
x
−
12
=
0
When we simplify this, we get
⇒
(
x
+
3
)
(
x
−
4
)
=
0
From this, we get,
x
=
4
and
−
3
. We need a positive value, so it is 4.
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