To simplify the given expression, we can combine like terms.
The expression 2√8 + 3√8 can be rewritten as (2 + 3)√8.
Now, let's simplify the square root of 8. Since 8 can be expressed as the product of 4 and 2 (8 = 4 * 2), we can simplify the square root of 8 as the square root of 4 times the square root of 2.
The square root of 4 is 2, so we can rewrite the expression as:
(2 + 3) * √2
Adding the coefficients, we get:
5 * √2
So, the simplified expression is 5√2.