What is the following product? open paren 5 square root of 2 minus 4 square root of 3 close paren times open paren 5 square root of 2 minus 4 square root of 3 close paren

Since the two factors are identical, square the expression using (a − b)² = a² − 2ab + b². This gives (5√2)² − 2(5√2)(4√3) + (4√3)² = 50 − 40√6 + 48 = 98 − 40√6. The product is 98 minus 40 square root of 6, choice C.

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