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I love questions like these! They might seem difficult to handle in the beginning but a simple trick is all that’s needed to make them more manageable. Let’s begin,
13−−√−12−−√? 14−−√−13−−√
Multiply both sides by 1 , which gives us,
(13√−12√)×(13√+12√)13√+12√?(14√−13√)×(14√+13√)14√+13√
Which upon simplification (Using (a−b)(a+b)=a2−b2 ) gives us,
113√+12√?114√+13√
Once we’ve simplified it to this extent, we can clearly see that
113√+12√> 114√+13√
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