√6√6√6√6................
if the question is not understood see the attacment

2
hey have u seen the attachment
tq in advance
frendz - you could use the equation editor in the answer creation window or question creation window. it is marked a Pi symbol. next to button marked omega for symbols.

Answers

2014-09-11T17:25:21+05:30
Let x be the √6√6√6···
                              x=√6√6√6√6√6√6········
                             x²={√6√6√6√6√6....}²
                             x²=6√6√6√6√6√6·····
                              x²=6×x
                              x²/x=6
                              x=6
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mam told me this solution with root 2
tell me in which step its wrong.
don't delet its correct.
Comment has been deleted
you could use the equation editor in the answer creation window or question creation window. it is marked a Pi symbol. next to button marked omega for symbols.
2014-09-12T02:52:20+05:30

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 Let\ x =6 \\ \\ y = \sqrt{x \sqrt{x \sqrt{x \sqrt{x....} } } } \\ \\ y =  \sqrt{x\ \ \ ( \sqrt{x \sqrt{x \sqrt{x \sqrt{x....} } } })} \\ \\ y = \sqrt{x y} \\ \\ y^2 = x y \\ \\ y = x = 6 \\
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We can also do this in another way adding the powers of 6.

y =  x^{\frac{1}{2}} * x^{\frac{1}{4}} * x^{\frac{1}{8}} * x^{\frac{1}{16}} * x^{\frac{1}{32}} *  ...... \\ \\ It\ is \ an\ infinite \ geometric\ series\ with\ a=1/2\ and\ ratio=1/2 \\ \\ y = x^{ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} ....} \\ \\ y = x^{\frac{1}{2}(\frac{1}{1-\frac{1}{2}})} \\ \\ y = x^{\frac{1}{2}*\frac{1}{\frac{1}{2}}} \\ \\ y = x = 6 \\
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