+0

# I need help with simplifying!

+1
104
3
+481

Simplify

$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$

Nov 2, 2022

#1
0

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

= sqrt(2*17 + 44)

= sqrt(78)

Nov 2, 2022
#2
+481
0

Guest, thank you for trying but that was incorrect.

Keihaku  Nov 2, 2022
#3
+118455
+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.

Nov 2, 2022