2^log4(2-√3) + 3^log9(2+√3)
=2^log2^2(2-√3) + 3^log3^3(2+√3)
=2^(1/2[log2(2-√3)]) + 3^(1/2[log9(2+√3)])
=2^1/2*(2-√3)+3^1/2*(2+√3)
=2√2-√6+2√3+3