Simplify
\(\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}\)
sqrt(2*sqrt(8^2 + 15^2) + sqrt(9^2 + 40^2))
= sqrt(2*17 + 44)
= sqrt(78)
Guest, thank you for trying but that was incorrect.
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.