Diagonal of a cube in N dimensions
Level
pending
What is the lowest value of N (where N is an integer >1) such that the longest diagonal of a cube in N dimensions is always an integer, given that the lengths of each side is an integer?
The answer is 4.
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1 solution
Let x be the side. Length of diagonal of N dimensional cube = N × x 2 .
When, N=4 --> length of diagonal = 2x.