+0  
 
+1
44
3
avatar+75 

What is the smallest value of

\(\sqrt{x^2 + 2x + 2} + \sqrt{x^2 - 4x +8}\)

 Jul 1, 2022
 #1
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-2

imagine hearting your own comment lm-fao

 Jul 1, 2022
 #2
avatar+124526 
+3

A graph seems the way to  go, here

 

https://www.desmos.com/calculator/04zmr3pddp

 

The smallest value occurs when x =  0

 

And that value =   sqrt (2) + sqrt (8) =  sqrt (2)  ( 1 + 2)  =  3sqrt (2) 

 

 

cool cool cool

 Jul 1, 2022
 #3
avatar+1113 
+10

correct as usual! laugh

nerdiest  Jul 3, 2022

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