Final answer:
To simplify 4 sqrt(49d^8e^2), after simplifying the square root you get 28d^4e.
Step-by-step explanation:
To simplify the expression 4 sqrt(49d^8e^2), we will first handle the square root and then multiply by the coefficient outside the square root.
The square root of 49 is 7, the square root of d^8 is d^4 (since 8 is an even exponent and the square root undoes the squaring), and the square root of e^2 is e (for the same reason).
Therefore, we have: 4 * √(49 * d^8 * e^2) = 4 * 7 * d^4 * e
This simplifies to:28d^4e