Find m such that (m + \(\sqrt{3}\))(1 – \(\sqrt{3}\))2 = 6 – 2\(\sqrt{2}\)

Explanation

(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