Final answer:
To simplify the given product involving square roots and variables, perform the necessary multiplications, distribution, and combining like terms.
Step-by-step explanation:
To simplify the product:
Multiply the terms inside the square roots. sqrt(8x^2 - 2sqrt(x)) * sqrt(10x) * 2x * sqrt(40x-2x) * (2x * sqrt(10x) - 2sqrt(5x)) * (2x * sqrt(10x) - 2x * sqrt(5))
Distribute the terms and combine like terms where possible
Continue simplifying until a final answer is obtained