Question

6½6¼6⅛.......infinity=6​

Answer 1

Answer:

Proved

Step-by-step explanation:

$\sqrt{6 \sqrt{6 \sqrt{6 \sqrt{6 \sqrt{6 \sqrt{6} } } } } }......... = 6 \\ let \: 6 \: be \: x \\ then \\ \sqrt{6(x)} = 6 \\ squaring \: both \: sides \\ 6(x) = {6 }^{2} \\ x= \frac{ 36 }{6} \\ x = 6 \\ 6 = 6$