simplify this equation?

Question

SQRT(x) + SQRT(y) / SQRT(x) - SQRT(y)

Answer 1

mutiply & divide by sq.x+sq.rt.y
=(x+y+2sq.rtxy)/(x-y)

Answer 2

Well,you can find many other equivalent forms for this
equation,but the answer is that it cannot be written in a actually better,'simplified' form.That is,none of the different forms will be 'simpler' (whatever that means to most people).

If you seek just a 'different' form,then you've already got a couple of good answers (and there aren't many more) but if you look for a better one,then I'm sure it is as good as it gets (sorry!)!
In general,when you have equations in the form (b+c)/(b-c) and search for a different form,it's a common thing to multiply and divide by b+c ( 'conjugate of b-c').In many cases you get something good.

Answer 3

SQRT(x^2-xy+y)/SQRT(x)

Answer 4

get the least common denominator
= [x+SQRT(y)+SQRT(xy)]/SQRT(x)
Then Simplify
= SQRT(x)+[(x+1)SQRT(xy)]/x

Answer 5

I assume you mean:
[SQRT(x) + SQRT(y)] / [SQRT(x) - SQRT(y)]. If so,
= [x^.5+ y^.5]^2/[(x^.5 -y^.5)(x^.5+y^.5)]
=[x +2x^.5y^.5+y]/[x-y]
=(x+y+2sqrt(xy))/(x-y)

Answer 6

SQRT(X+Y/X-Y) looks good

Answer 7

sqrt(x) + sqrt(y) / sqrt(x) + sqrt(y) = your screwed