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

1 answer

To compare the tiles, we need to determine which one is larger.

Let's compare the diagonals of both tiles.

The diagonal of the first tile is 92–√ centimeters.
The diagonal of the second tile is 82–√ centimeters.

To compare these two numbers, we need to determine the values of √92 and √82.

√92 is approximately equal to 9.59 (rounded to two decimal places).
√82 is approximately equal to 9.06 (rounded to two decimal places).

Comparing the two values, we can see that √92 is greater than √82.

Therefore, the tile with a diagonal of 92–√ centimeters is larger than the tile with a diagonal of 82–√ centimeters.