United States l can you solve this?? l Olympiad Math Radical Exponential Simplification

[@nasrullahhusnan2289]

a=[sqrt(44)]/[sqrt(55)+sqrt(11) Divide by sqrt(11): 2/[1+sqrt(5)] Mutiply by [-1+sqrt(5)]/[-1+sqrt(5)]: a=½[-1+sqrt5)] =-1+½[1+sqrt(5)] =-1+ß where ß=golden ratio Noting that ß²=ß+1 compute a², a⁴=(a²)², a¹²=(a⁴)³ and finally a²⁴=(a¹²)².

[@novellobrancher9627]

Davvero bravo!👏👏👏

[@nopdou]

さいごのたしざんあってる？

[@thtrausan1]

I don.t know why, but algebra seems like a lot of guesswork, random steps and hacks. I learned the tricks in school, but NOBODY taught me why should I use a trick and not another, in what order and in what context should I use each hack. It just felt like needing luck in order to get to a beautiful result. I remember trying to solve equations or algebra problems and using the wrong hack only to get at an even uglier result. No grand scale intuition, only magic spells. Trigonometric algebra is even worse. I thought I was bad at math until I started using it in programming to make fractals and started watching 3blue1brown. I rediscovered my passion for it then. But this feels very discouraging to children. Why do we learn math like this?