Let a,b,c,d,e,f,g, and h be real numbers such that abcd=4 and efgh=9. Find the minimum value of (ae)2+(bf)2+(cg)2+(dh)2.
If a = b = c = d = √2 and e = f = g = h = √3, then (ae)2 + (bf)2 + (cg)2 + (dh)2 = 24
Not sure I can prove this a minimum though!
