The titles in a store are being compared. The diagonal of one tile is 9√2 centimeters and the other tile is 8√2 centimeters what is the difference in the length of the diagonals?

The length of the diagonal of the first tile is 9√2 cm and the length of the diagonal of the second tile is 8√2 cm.

The difference in the length of the diagonals is:
9√2 - 8√2 = 1√2 = √2

So, the difference in the length of the diagonals is √2 centimeters.