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Find positive integers (a,b) so that (37 + 20*sqrt(3))^2 = a + b*sqrt3. Answer in the form of "a, b".

 Jun 25, 2022
 #1
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(37 + 20sqrt (3)) (37 + 20 sqrt (3) )  =

 

1369  + 2*37*20sqrt (3)  +  400 * 3  =

 

1369 + 1480sqrt (3) + 1200  =

 

2569 + 1480sqrt (3)

 

(a, b) =   (2569 , 1480)

 

 

 

cool cool cool

 Jun 25, 2022

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