`sqrt2+sqrt3+sqrt4+sqrt6` is equal to

sqrt-3 sqrt-6 is equal to

Prove that tan 7 (1^(@))/(2) = sqrt2 - sqrt3 -sqrt4 + sqrt6 = (sqrt3 - sqrt2) (sqrt2 -1).

Prove that cot 7 ""(1^(@))/(2) = sqrt2 + sqrt3 + sqrt4 + sqrt6 = (sqrt3 + sqrt2) (sqrt2 +1 ).

Prove that 4 cos 36^@ +cot 7 1^@/2 = sqrt1+sqrt2 +sqrt3+ sqrt4+ sqrt5+ sqrt6 .

Prove that : cot frac (pi)(24)= sqrt2+ sqrt3+ sqrt4+ sqrt6 .

sqrt(2+sqrt(3))*sqrt(2+sqrt(2+sqrt(3)))*sqrt(2+sqrt(2+sqrt(2+sqrt(3))))sqrt(2-sqrt(2+sqrt(2+sqrt(3)))) is equal to a.1b.2c.4dsqrt(6)