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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 \((ae)^2 + (bf)^2 + (cg)^2 + (dh)^2.\)

 Apr 10, 2019
 #1
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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!

 Apr 10, 2019

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