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