How do you simplify #\frac { \sqrt { y } + \sqrt { x } } { \sqrt { y } - \sqrt { x } }#?

1 Answer
Noah G
Oct 30, 2016

We need to rationalize the denominator.

#=(sqrt(y) + sqrt(x))/(sqrt(y) - sqrt(x)) xx (sqrt(y) + sqrt(x))/(sqrt(y) + sqrt(x))#

#=(y + sqrt(xy) + sqrt(xy) + x)/(y - x)#

#=(y + x + 2sqrt(xy))/(y - x)#

Hopefully this helps!

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