The measurement of the cube's diagonal will require the use of irrational numbers.
To determine the length of the cube's diagonal, we can use the Pythagorean theorem. Let the edge length of the cube be "a" centimeters. Then, the diagonal of the cube can be found using the equation:
diagonal² = a² + a² + a² (as there are three edges forming the diagonal)
Simplifying the equation, we get:
diagonal² = 3a²
To find the diagonal, we need to take the square root of both sides of the equation. However, it is important to note that if "a" is a rational number, the square root of 3a² will most likely be irrational. Therefore, the measurement of the cube's diagonal will involve irrational numbers.
A cube has an edge length. A that is a rational number of centimeters identify which measurement will require the use of irrational numbers.
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