Answer:
To prove that (6-√8)^2 = 44-24√2, we will expand both sides of the equation and then simplify.
Expanding the left side:
(6-√8)^2 = (6-√8)(6-√8)
= 6(6) - 6(√8) - (√8)(6) + (√8)(√8)
= 36 - 6√8 - 6√8 + 8
= 36 - 12√8 + 8
Simplifying the right side:
44-24√2
Comparing the expanded and simplified forms, we can see that they are the same:
36 - 12√8 + 8 = 44 - 24√2
Therefore, we have proven that (6-√8)^2 = 44-24√2.