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