Final answer:
The product of the given expression is 98 - 40√6.
Step-by-step explanation:
To find the product of the given expression, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which means we multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. In this case, the product is:
(5√2 - 4√3)(5√2 - 4√3) = 25(2) - 20√6 - 20√6 + 16(3) = 50 - 40√6 + 48
Simplifying further, we have:
(5√2 - 4√3)(5√2 - 4√3) = 98 - 40√6
Learn more about Product of Binomials