Question 635738
{{{(sqrt(x)+sqrt(y))/(sqrt(x)-sqrt(y))}}} 
Multiply numerator and denominator by {{{(sqrt(x)+sqrt(y))}}}
{{{(sqrt(x)+sqrt(y))(sqrt(x)+sqrt(y))/(sqrt(x)-sqrt(y))(sqrt(x)+sqrt(y))=(sqrt(x)+sqrt(y))^2/((sqrt(x))^2-(sqrt(y))^2)=((sqrt(x))^2+2sqrt(x)sqrt(y)+(sqrt(y))^2)/(x-y)=(x+2sqrt(xy)+y)/(x-y)}}}