Let's assume that "x" is the length of each side of the square.
We can apply the Pythagorean Theorem to find x.
Diagonal of a square can be found using the formula: d = x sqrt(2), where "d" is the length of the diagonal.
Substituting the given value of the diagonal in the above formula, we get: 12 sqrt(10) = x sqrt(2)Squaring both sides of the equation, we get: 1440 = 2x^2
Simplifying the above equation, we get: x^2 = 720
Taking the square root of both sides of the equation, we get: x = sqrt(720)
Simplifying the above expression, we get: x = sqrt(2 * 2 * 2 * 2 * 3 * 3 * 5)
Taking out the perfect squares from the square root,
we get: x = 4sqrt(5)sqrt(2)Therefore, the length of each side of the square is 4 sqrt(5) sqrt(2) feet or 8.944 feet (approx).
Hence, the answer is 8.944 feet.