What is (x+sqrt(y))/(x-sqrt(y)) ?

The solution to (x+sqrt(y))/(x-sqrt(y)) is ((x+sqrt(y))^2)/(x^2-y)

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simplify (x+sqrt(y))/(x-sqrt(y))

simplify

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

\frac{( x + y ) ^{2}}{x ^{2} - y}

Solution steps

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

Multiply by the conjugate

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

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

Simplify

(x + y) (x + y) : (x + y)^{2}

(x - y) (x + y) = x^{2} - y

= \frac{( x + y ) ^{2}}{x ^{2} - y}

\frac{4 x}{( 4 x ) ^{2} + 1}

\frac{y ^{- 1}}{2 w ^{- 5}}

25 + 49

a^{2} b^{6}

(- 3 + h)^{2} + 4 (- 3 + h)

What is (x+sqrt(y))/(x-sqrt(y)) ?
The solution to (x+sqrt(y))/(x-sqrt(y)) is ((x+sqrt(y))^2)/(x^2-y)