Brainteaser iconBrainteaser - The Square Root Conundrum

The Square Root Conundrum
Math
Da Vinci Trading
Imagine you have two positive real numbers, \(a\) and \(b\), where \(a > b\). Determine the relationship between \(\sqrt{a - b}\) and \(\sqrt{a} - \sqrt{b}\). Is one always greater, or does the relationship depend on \(a\) and \(b\)?