Ask your own question, for FREE!
Mathematics 12 Online
geerky42 (geerky42):

I discovered that \(\sqrt{\dfrac{3+\sqrt{5}}{8}} = \dfrac{1+\sqrt{5}}{4}\) Can anyone prove me that this is true? I don't see how this is true.

OpenStudy (anonymous):

Working with the RHS: \[\begin{align*}\frac{1+\sqrt5}{4}&=\sqrt\frac{(1+\sqrt5)^2}{16}\\ &=\sqrt{\frac{1+2\sqrt5+5}{16}}\\ &=\sqrt{\frac{6+2\sqrt5}{16}}\\ &=\sqrt{\frac{3+\sqrt5}{8}} \end{align*}\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos: Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
1 hour ago 7 Replies 5 Medals
kaelynw: starting to draw a hand
1 day ago 16 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
2 days ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
2 hours ago 7 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
3 days ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
3 days ago 27 Replies 3 Medals
kaelynw: art igg
3 days ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!