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

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

Find m such that (m + (sqrt{3}))(1 – (sqrt{3}))2 = 6 – 2(sqrt{2})
  • A.
    1
  • B.
    2
  • C.
    3
  • D.
    4
Correct Answer: Option C
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