First, simplify the expressions inside each pair of parentheses:

5√3 + √50 = 5√3 + 5√2 = 5(√3 + √2)

5-√24 = 5 - 2√6

Now we have:

(5√3 + √50)(5-√24) = 5(√3 + √2)(5 - 2√6)
= 25√3 - 10√6 + 25√2 - 10√12
= 25√3 - 10√6 + 25√2 - 10(2√3)
= 25√3 - 10√6 + 25√2 - 20√3
= 5√3 + 25√2 - 10√6

Now, let's simplify the expression in the numerator:

√75 = √(25*3) = 5√3

So, the full expression becomes:

(5√3 + √50)(5-√24)/√75-5√2 = (5√3 + 25√2 - 10√6) / (5√3 - 5√2)
= 5(√3 + 5√2 - 2√6) / 5(√3 - √2)
= √3 + 5√2 - 2√6 / √3 - √2