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

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

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

simplify

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

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 )}

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

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

Cancel the common factor:

x - y

= x - y

- 6 y + y^{2} + 3 - 4 y^{2} - 7 + 1 - 4 y

\frac{- 10}{3} \div \frac{7}{9}

\frac{42}{49}

(c^{5}) (c) (c^{2})

5 (2 x - 3)

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