The tiles in a store are being compared. The diagonal of one tile is 92–√ centimeters, and the other tile is 82–√ centimeters. What is the difference in the length of the diagonals?

Answer 1

The length of the diagonal of the first tile is 92 – √ cm and the length of the diagonal of the second tile is 82 – √ cm.

To find the difference in the length of the diagonals, we subtract the length of the diagonal of the second tile from the length of the diagonal of the first tile:

(92 – √ cm) - (82 – √ cm) = (92 – √ cm) - 82 + √ cm = 10 + √ cm.

So the difference in the length of the diagonals is 10 + √ cm.