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.