{√(1)}+{√(2)}+{√(3)}+...+{√(n²)} ≤ ((n²-1)/12)

• If not, provide an example.
• If so, prove it.

Note: ⌊x⌋ is floor of x, which is the greatest integer less than or equal to x, and: {x} = x-⌊x⌋.