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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

a - \frac{b}{c} = \frac{a c - b}{c}

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

Simplify

x (x + y) - (x - y) : y + x y

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

\frac{14}{3}

- 2 \leq 3 x + 2 \leq 3

x^{\frac{5}{2}} - x^{\frac{1}{2}}

8 1^{- \frac{1}{2}}

4 - 2 (- 10 - 1) = 3 (2 - 10) - 10

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