Answer: 4.X-y
Explanation:
The given expression is:
(√x - √y)(√x √y)
To simplify this expression, you can use the distributive property of multiplication. Let's break it down step by step:
(√x - √y)(√x √y) = (√x * √x√y) - (√y * √x√y)
Now, we can simplify further:
(√x * √x√y) = (√x * √x * √y) = (x√y)
(√y * √x√y) = (√y * √y * √x) = (y√x)
Now, the expression becomes:
(x√y - y√x)
So, the correct answer is option 4:
x - y