Explanation:
To find (a-2)² + (b-3)², first we need to simplify a and b. a = 2 + √3 + √5 = 2 + 3√5 b = 3 + √3 - √5 = 3 - 2√5
Now we can substitute the simplified expressions for a and b into the original equation: (2 + 3√5 - 2)² + (3 - 2√5 - 3)² = (3√5 - 2)² + (-2√5 - 3)² Expanding and simplifying the equation gives us: 95 + 45 + 4 + 9 = 75 + 20 = 95