Find m such that (m + √3 3 )(1 - √3 3 )2 = 6 - 2√2

Question 1 Report

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

1

2

3

4

Answer Details

(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

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