It takes at least n log2(n) comparisons to sort using comparisons, in the worst case. But for large n, n0.5 (the square root of n) is much smaller than n log2(n).

The limit as n goes to infinity of (n log2(n))/n0.5 is infinite. So for every constant c there is a suitably large n so that cn0.5 is less than n log2(n).