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avatar+312 

Simplify 

\(\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}\)

 Nov 2, 2022
 #1
avatar
0

sqrt(2*sqrt(8^2 + 15^2) + sqrt(9^2 + 40^2))

= sqrt(2*17 + 44)

= sqrt(78)

 Nov 2, 2022
 #2
avatar+312 
0

Guest, thank you for trying but that was incorrect.

Keihaku  Nov 2, 2022
 #3
avatar+118135 
+2

Let's see,

 

\(\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}\\ =\sqrt{2\sqrt{289}+\sqrt{1681}}\\ =\sqrt{2*17+41}\\ =\sqrt{34+41}\\ =\sqrt{75}\\ =5\sqrt{3}\\\)

 

Guest just made a careless error that you should have found for yourself !

 

Thanks Guest.   laugh

 Nov 2, 2022

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