Question

How do you simplify `sqrtxsqrt(x+2)`?

Answer 1

`sqrt(x)sqrt(x+2) = sqrt(x(x+2))`

Explanation:

`sqrt(a)sqrt(b) = sqrt(ab)` when `a` and `b` are non-negative, which means you can join them under the same square root to `sqrt(x)sqrt(x+2) = sqrt(x(x+2))`, which is the simplest form.

Apart from expanding it to `sqrt(x^2+2x)`, there's not much more to do with this expression.