What is (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x)) ?

The solution to (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x)) is sqrt((x+\sqrt{x+\sqrt{x)})/x}

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simplify (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x))

simplify

\frac{x + x + x}{x}

\frac{x + x + x}{x}

Solution steps

\frac{x + x + x}{x}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{x + x + x}{x} = \frac{x + x + x}{x}

= \frac{x + x + x}{x}

2^{5} l e f t (- 3)^{5} l e f t (- 1)^{5}

e^{- l n (x + 1)}

(- e^{- x}) (e^{- x})

What is (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x)) ?
The solution to (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x)) is sqrt((x+\sqrt{x+\sqrt{x)})/x}