If `a=7+ 4sqrt(3)` then `(3a^6+2a^4+4a^3+2a^2+3)/(a^4+a^3+a^2)`

If a=sqrt((7+4sqrt(3))/(7-4sqrt(3))) then the value of [a(a-14)]^(2) is

Prove that a^6+8a^3+27-18a^3=(a^2+2a+3)(a^4+4a^2+9-2a^3-6a-3a^2)

If a=(4sqrt(6))/(sqrt(2)+sqrt(3))

sqrt(3a^(4)+2sqrt(3a^(3))+3a^(2)-6a by(3a)

If tan15^@=2-sqrt3 , then the value of cot^2""75^@ (a) 7+sqrt3 (b) 7-2sqrt3 (c) 7-4sqrt3 (d) 7+4sqrt3

If a=(4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If z = (3sqrt7 +4i)^2(3sqrt7-4i)^3 then Re(z) =