Question 1037220
y=sqrt(3+sqrt(5-sqrt(13+sqrt(48))))
 =sqrt(3+sqrt(5-sqrt(12+1+2sqrt(12))))
 =sqrt(3+sqrt(5-sqrt(sqrt(12)+1)^2)))
 =sqrt(3+sqrt(5-1-sqrt(12))
 =sqrt(3+sqrt(4-sqrt(12))
 =sqrt(3+sqrt(3+1-sqrt2(3))
 =sqrt(3+sqrt(3)-1)
 =sqrt(2+sqrt(3)) = sqrt(8+4.sqrt(3))/2=sqrt(6+2+2.sqrt(12))/2
 =(sqrt(6)+sqrt(2))/2, Hence shown.