Explanation:
Loretta's error is that she only took the square root of the coefficient 16, but forgot to take the square root of the variables m and n.
The correct solution is:
The square root of 16 is 4.
The square root of m^2 is m.
The square root of n^20 is n^10.
Putting it all together, we get:
√(16m^2n^20) = √16 * √(m^2) * √(n^20) = 4mn^10
Therefore, the correct answer is 4mn^10, not 8mn^10.