Question

What is the area of the square

Answer 1

56 - 6√12

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.