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))^2)/(x-y)

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

simplify

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

\frac{( x - y ) ^{2}}{x - y}

Solution steps

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

Multiply by the conjugate

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

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

Simplify

(x - y) (x - y) : (x - y)^{2}

(x + y) (x - y) = x - y

= \frac{( x - y ) ^{2}}{x - y}

4 \cdot (- 8)

3.1 4^{2}

(1 + a) (1 - a)

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

x (1 - x)^{3}

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))^2)/(x-y)