Question

Choose the correct answer.

(√x-√y) (√x √y)

1. (√x-√y)
2. (√x+√y)²
3. √x-√y
4. X-y

Answer 1

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