Can you please help me simplify this math problem?

Question

Rationalize the numerator

√(x+3) - √(x-2)

over

x

I know you multiply by the conjugate but i dont know if the top is one or five. Thanks!

Answer 1

The numerator is 5.

When you multiply by the conjugate, the numerator becomes:

(x + 3) +   √(x + 3)*√(x - 2) - √(x + 3)*√(x - 2)   - (x - 2)

= x + 3 + 0 - x + 2

= 3 + 2

You only asked about the numerator, and I think you are on the right track with this. But if you need help with the rest of this, just email me.  :)