for positive integers a and b (a, b) [a,b] = ab
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a) If both ‘a’ and ‘b’ are integers then
a <= (a/b) . … 1 The equality will hold only if a=b=1
b <= (b/a) ….. 2
as division of course by definition reduces the value
b) If equality holds in 1 or 2 the equality must hold in the other for the equation a + b = a/b +b/a to hold
a and b => a = 1 and b =1
so a^2+b^2 = 2
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