4sqrt10/sqrt2

To simplify the expression 4√10/√2, we first simplify the square roots:

4√10 = 4 * √(2 * 5) = 4√2√5
√2 = √(2)

Now, we can rewrite the expression as:

(4√2√5) / √2

Next, we simplify by canceling out the common factor of √2:

(4√5)

Therefore, the simplified expression is 4√5.