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

The solution to sqrt(\sqrt{(x+1)/(x-1))} is \sqrt[4]{(x+1)/(x-1)}

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

simplify

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

Solution steps

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

Apply radical rule:

a = a^{\frac{1}{2}}

= ((\frac{x + 1}{x - 1})^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (\frac{x + 1}{x - 1})^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (\frac{x + 1}{x - 1})^{\frac{1}{4}}

e^{- 25 (- 1)}

(1 - x)^{- \frac{1}{2}} d x

7 r^{8} e^{8} r^{7} w^{8} e r^{9} e w

- 1.43 \cdot 1 0^{- 6}

e^{2 x} \cdot 3 e^{2 x}

What is sqrt(\sqrt{(x+1)/(x-1))} ?
The solution to sqrt(\sqrt{(x+1)/(x-1))} is \sqrt[4]{(x+1)/(x-1)}