To simplify the expression, we need to rationalize the denominators.

The first term, 5√2, does not have a denominator, so we can leave it as is.

The second term, -2√5/√5, has a denominator of √5. To rationalize the denominator, we multiply both the numerator and denominator by √5:

(-2√5/√5) * (√5/√5) = -2√(5*5)/√(5*5) = -2√25/√25 = -2(5)/5 = -10/5 = -2

The third term, -√2, does not have a denominator, so we can leave it as is.

The fourth term, -6/√10, has a denominator of √10. To rationalize the denominator, we multiply both the numerator and denominator by √10:

(-6/√10) * (√10/√10) = -6√(10)/√(10*10) = -6√10/√100 = -6√10/10 = -3√10/5

The fifth term, +2, does not have a denominator, so we can leave it as is.

Putting it all together, the simplified expression is:

5√2 - 2 + (-√2) - (-3√10/5) + 2

Simplifying further:

5√2 - 2 - √2 + 3√10/5 + 2

Combining like terms:

5√2 - √2 + 3√10/5 + 2 - 2

4√2 + 3√10/5

So the simplified expression is 4√2 + 3√10/5.