Find the diagonal of a square if its area is 32.

The area of the square is 32, so the side length is √32. The two sides of the square and its diagonal form a right-angled triangle, where the sides of the square are the legs, and the diagonal is the hypotenuse. By the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the legs, therefore, the diagonal is:

√ ((√32) ^ 2 + (√32) ^ 2) = √ (32 + 32) = √64 = 8.

Answer: 8.