if x=√[6+√6+ √(7+ 246)]-√6 then the value
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Answer:
if x=√[6+√6+ √(7+ 246)]-√6 then the value
Answered by
0
Answer:
Letx=
6+
6+
6+
6+...∞
On squaring both sides,
x
2
=6+
6+
6+
6+
6+...∞
x
2
=6+x
x
2
−x−6=0
x=
2(1)
1±
1
2
−4×1×(−6)
x=
2
1±
25
=
2
1±5
∴x=3 or x=−2
Since a negative number cannot be under root, hence x=3
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