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

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

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

simplify

\frac{x + y}{x - y}

\frac{x + y}{x - y}

Solution steps

\frac{x + y}{x - y}

Apply radical rule:

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

\frac{x + y}{x - y} = \frac{x + y}{x - y}

= \frac{x + y}{x - y}

(cos (x))^{2} (sin (x))^{2}

\frac{- 3}{3}

\frac{0.8}{0.2}

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