# Math Help - Prove Mathematically That...

1. ## Prove Mathematically That...

No calculators please....I need to solve by showing each step and what the step is basically doing; I can get all the way up to where I have to deal with the radical in the radical, any help is greatly appreciated.

here is the way it was written; this is a site, i typed it on wolframalpha to get correct symbols: http://www4c.wolframalpha.com/Calcul...=14&w=368&h=47

or attached image below...

2. Square both sides to get $36^2 + 3\cdot 18^2 + 2\cdot36\cdot18\cdot \sqrt{3} = 3(4+2\sqrt{3})(3^2 + 3^2\cdot 3 + 2\cdot3\cdot3\cdot \sqrt{3})$. Now expand the RHS and collect like terms.

Square both sides to get $36^2 + 3\cdot 18^2 + 2\cdot36\cdot18\cdot \sqrt{3} = 3(4+2\sqrt{3})(3^2 + 3^2\cdot 3 + 2\cdot3\cdot3\cdot \sqrt{3})$. Now expand the RHS and collect like terms.