a) (-2*2^0.5)^(1/3)+2^(1/6)*3^(1/3) = — (8^0.5)^(1/3) + 2^(1/6+1/3) = -8^(1/6)+2^(3/6) = -8^(1/6)+8^(1/6) = 0
б) (7+4*3^0.5)^(1/4)*(2-3^0.5)^0.5 = (4+2*2*3^0.5+3)^(1/4)*(2-3^0.5)^0.5 = ((2+3^0.5)^2)^(1/4)*(2-3^0.5)^0.5 = (2+3^0.5)^0.5*(2-3^0.5)^0.5 = ((2+3^0.5)(2-3^0.5))^0.5 = (4-3)^0.5 = 1^0.5 = 1