" prose tant "sqrt(-sqrt(3)+sqrt(3+8sqrt(7+4sqrt(3))))=2

Prove that (a) sqrt(-sqrt3 + sqrt(3 + 8 sqrt(7 + 4 sqrt3))) =2 (b) sqrt(2- sqrt5 + sqrt(-15 + 4 sqrt(41 + 12 sqrt5))) =2

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

The value of : sqrt(-sqrt3 + sqrt(3+8sqrt(7 + 4sqrt(3)))) is

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =