Answer:
56 - 6√12
Step-by-step explanation:
If s = side length = √2 - 3√6, then:
A = area of square = s² = (√2 - 3√6)²
= (√2 - 3√6)(√2 - 3√6)
= 2 - 3√12 - 3√12 + 9(6)
= 2 - 6√12 + 54, or
= 56 - 6√12 is the area of the square.