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The Heronian mean H(a, b) is defined as H(a, b) = \dfrac{a + \sqrt{ab} + b}{3} . What is the least positive integer b > 40 such that H(40, b) is also a positive integer?

 Aug 24, 2022
 #1
avatar+33151 
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As follows:

 

 Aug 25, 2022

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