If [tex]\sqrt{9+4\sqrt{5}}=\sqrt{a}+\sqrt{b}[/tex], find all ordered pairs (a,b)(adsbygoogle = window.adsbygoogle || []).push({});

The equation looks hauntingly like a elliptic curve, so I tried that but it didnt really help. I tried just simplifing it, but it got really messy really fast. Can someone please help?

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# Probably a rather easy Algebra problem that I am not getting

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