The difference in the length of diagonals is (9√2 - 8√2) centimeters.
Simplifying the expression inside the parentheses, we get:
9√2 - 8√2 = √2
Therefore, the difference in the length of diagonals is √2 centimeters.
The difference is __ centimeters.
Simplifying the expression inside the parentheses, we get:
9√2 - 8√2 = √2
Therefore, the difference in the length of diagonals is √2 centimeters.
Let's call the length of the first diagonal "d1" and the length of the second diagonal "d2".
Given that d1 = 9√2 centimeters and d2 = 8√2 centimeters, the difference can be calculated as follows:
Difference = d1 - d2
Substituting the values, we have:
Difference = 9√2 - 8√2
To subtract these two values, we need to have the same radical. Since both terms have √2, we can perform the subtraction:
Difference = (9 - 8)√2
Simplifying further,
Difference = 1√2
Since we cannot leave the answer in terms of the radical, we need to simplify √2, which is approximately 1.414.
Difference = 1√2 ≈ 1.414
Therefore, the difference in the length of diagonals is approximately 1.414 centimeters.
Given:
Length of diagonal of one tile = 9√2 centimeters
Length of diagonal of the other tile = 8√2 centimeters
Difference in the length of diagonals = (Length of diagonal of one tile) - (Length of diagonal of the other tile)
= 9√2 - 8√2
First, let's simplify the expression by combining like terms:
Difference in the length of diagonals = (9 - 8)√2
= 1√2
Since the square root of 2 cannot be simplified further, the difference in the length of diagonals is 1√2 centimeters.