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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".

 Jul 7, 2022
 #1
avatar+124676 
+1

(37 + 20sqrt 3)^2  =

 

37^2  +  2 * 37 * 20 sqrt (3)   +  (20 sqrt 3)^2  =

 

1369 +  1480 sqrt 3  + 400*3   =

 

1369 + 1480 sqrt 3  + 1200 =

 

2569 + 1480 sqrt 3

 

 

cool cool cool

 Jul 7, 2022
 #2
avatar+1155 
+7

catmg had a different answer, which he/she answered in the form of a, b. 

 

https://web2.0calc.com/questions/help-needed_79

nerdiest  Jul 7, 2022

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