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Which is the biggest?

\(\begin{align} a & =\sqrt{2018}+\sqrt{2016} \\ b & =\sqrt{2019}+\sqrt{2015} \\ c & =\sqrt{2020}+\sqrt{2014} \end{align}\)

 Jun 25, 2020
 #1
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sqrt(2018)+sqrt(2016 = 89.8220435317197012

sqrt(2019)+sqrt(2015) = 89.8220352522488239

sqrt(2020)+sqrt(2014) = 89.8220214531222153      Which is biggest ?

 Jun 25, 2020
 #2
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I want to do it without a calculator.

Guest Jun 25, 2020
 #3
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EP provided a clear, easy to comprehend answer. 

Just for grins, here's your list extended the other direction. 

 

sqrt(2017) + sqrt(2017) = 89.82204629154248 ... see the trend?

.

 Jun 25, 2020

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