# A cool algebra problem....

Algebra Level pending

If $$a,b$$ are positive real numbers such that $$a - b = 2$$ , then find the smallest value of the constant $$L$$ for which the condition

$$(x^2 + ax)^{1/2} - (x^2 + bx)^{1/2} < L$$ holds for all $$x>0$$.

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