Question 1037220
<pre>
how get sqrt(3+sqrt(5-sqrt(13+sqrt(48)))) show than (sqrt(2)+sqrt(6))/2
helpme please

               <font color = red><font size = 4><b><u>SIMPLIFYING</font></font></b></u>{{{sqrt(13 + sqrt(48))}}}                   <font color = red><font size = 4><b><u>SIMPLIFYING</font></font></b></u>{{{sqrt(4 - sqrt(12))}}}               <font color = red><font size = 4><b><u>SIMPLIFYING</font></font></b></u>{{{sqrt(2 + sqrt(3))}}}

{{{system(matrix(6,1, 
highlight(sqrt(3 + sqrt(5 - sqrt(13 + sqrt(48))))),
sqrt(3 + sqrt(5 - sqrt(13 + sqrt(4) * sqrt(12)))),
sqrt(3 + sqrt(5 - sqrt(12 + 1 + 2sqrt(12) * sqrt(1)))), 
sqrt(3 + sqrt(5 - sqrt((sqrt(12) + sqrt(1)))^2)),
sqrt(3 + sqrt(5 - (sqrt(12) + 1))),
sqrt(3 + sqrt(4 - sqrt(12)))))}}} {{{system(matrix(6,1, 
sqrt(3 + sqrt(4 - sqrt(12))),
sqrt(3 + sqrt(4 - sqrt(4) * sqrt(3))),
sqrt(3 + sqrt(3 + 1 - 2sqrt(3) * sqrt(1))), 
sqrt(3 + sqrt((sqrt(3) - sqrt(1))^2)),
sqrt(3 + (sqrt(3) - 1)),
sqrt(2 + sqrt(3))))}}} {{{system(matrix(7,1, 
sqrt(2 + sqrt(3)),
sqrt(1(2 + sqrt(3))),
sqrt(2(2 + sqrt(3))/2), 
sqrt((4 + 2sqrt(3))/2),
sqrt((3 + 1 + 2sqrt(3)*sqrt(1))/2),
(sqrt(3) + sqrt(1))/sqrt(2),
highlight((sqrt(6) + sqrt(2))/2)))}}}

Proof that sqrt(3+sqrt(5-sqrt(13+sqrt(48)))) = (sqrt(2)+sqrt(6))/2, COMPLETED!</pre>