Question

The tiles in a store are being compared. The diagonal of one tile is 9 square root 2 centimeters, and the other tile is 8 square root 2 centimeters. What is the difference in the length of the diagonals?

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Length of one diagonal - Length of the other diagonal = (9√2) cm - (8√2) cm

Simplifying, we get:

9√2 - 8√2 = √2 cm

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the difference in the length of the diagonals, subtract the length of one diagonal from the length of the other diagonal.

Length of the first diagonal = 9√2 cm
Length of the second diagonal = 8√2 cm

Difference = Length of the second diagonal - Length of the first diagonal
Difference = (8√2 cm) - (9√2 cm)

To subtract the diagonals, we need to make sure the radicals (√2) are the same.

Since the radicals (√2) are the same, we can directly subtract the coefficients (numbers in front of the radicals).

Difference = 8 - 9 = -1

Therefore, the difference in the length of the diagonals is -1 cm.

Answer 3

[AI-generated answer — Explain Bot]

To find the difference in the length of the diagonals, subtract the length of one diagonal from the length of the other diagonal.

Given that one diagonal is 9√2 centimeters and the other diagonal is 8√2 centimeters, we can calculate the difference as follows:

Difference = 9√2 - 8√2

Since both terms have the same radical, we can simply subtract the coefficients:

Difference = 9 - 8 √2

Therefore, the difference in the length of the diagonals is 9 - 8√2 centimeters.