What is (2(x-y))/(sqrt(x)-\sqrt{y)} ?

The solution to (2(x-y))/(sqrt(x)-\sqrt{y)} is 2(sqrt(x)+sqrt(y))

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simplify (2(x-y))/(sqrt(x)-\sqrt{y)}

simplify

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

2 (x + y)

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

x - y

= 2 (x + y)

\frac{1}{27} (x^{5} + 2 x^{3})

(4 m - 9 n) (4 m + 9 n)

8 + m^{3}

(4 x + 9 y)^{2}

4 d^{2} + 24 d + 35

What is (2(x-y))/(sqrt(x)-\sqrt{y)} ?
The solution to (2(x-y))/(sqrt(x)-\sqrt{y)} is 2(sqrt(x)+sqrt(y))