Question

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? The difference is centimeters.

Answer 1

To find the difference in the length of the diagonals, we need to subtract the length of the diagonal of one tile from the length of the diagonal of the other tile:

(92 - √ centimeters) - (82 - √ centimeters)

Simplifying the expression inside the parentheses, we have:

92 - √ - (82 - √)

Next, we can distribute the negative sign:

92 - √ - 82 + √

Combining like terms, we get:

(92 - 82) + (-√ + √)

Which simplifies to:

10 + (0)

The difference is 10 centimeters.