For all x0 and y0, the radical expression (fraction: let me try to spell it out) square root of X on top of fraction, denominator is 3 Square root of X minus the square root of Y is equivalent to:

Question

For all x>0 and y>0, the radical expression (fraction: let me try to spell it out)  square root of X on top of fraction, denominator is 3 Square root of X minus the square root of Y is equivalent to:

drwls · Answer

sqrt x/(3 sqrtx - sqrt y) = sqrtx(3 sqrtx + sqrty)/(9x - y) = [3x + sqrt(xy)]/(9x -y)