Y=x-√x+6/x+5

To simplify the given expression, we can start by isolating the square root term in the numerator: y = x - √(x + 6)/(x + 5)

Next, let's simplify the numerator by finding a common denominator for x and x + 6: y = x(x + 5)/(x + 5) - √(x + 6)/(x + 5)

This allows us to combine the terms in the numerator: y = (x(x + 5) - √(x + 6))/(x + 5)

Now, let's multiply out the numerator: y = (x^2 + 5x - √(x + 6))/(x + 5)

Finally, we have simplified the expression to: y = (x^2 + 5x - √(x + 6))/(x + 5)