What is (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1)) ?

The solution to (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1)) is sqrt((x+\sqrt{x+\sqrt{x)})/(x+1)}

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simplify (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1))

simplify

\frac{x + x + x}{x + 1}

\frac{x + x + x}{x + 1}

Solution steps

\frac{x + x + x}{x + 1}

Apply radical rule:

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

\frac{x + x + x}{x + 1} = \frac{x + x + x}{x + 1}

= \frac{x + x + x}{x + 1}

e^{- t} sin (h) (5 t)

5 x^{2} y^{2} (2 x^{2} + 5 x y - 10)

(x - 4)^{2} (x - 3)^{2}

What is (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1)) ?
The solution to (sqrt(x+\sqrt{x+\sqrt{x)}})/(sqrt(x+1)) is sqrt((x+\sqrt{x+\sqrt{x)})/(x+1)}