(m + \(\sqrt{3}\))(1 - \(\sqrt{3}\))2 = 6 - 2\(\sqrt{2}\) (m + \(\sqrt{3}\))(4 - 2\(\sqrt{3}\)) = 6 - 2\(\sqrt{2}\) = 6 - 2\(\sqrt{3}\) 4m - 6 + 4 - 2m\(\sqrt{3}\) = 6 - 2\(\sqrt{3}\) comparing co-efficients, 4m - 6 = 6.......(i) 4 - 2m = -2.......(ii) in both equations, m = 3