If a=2+√3 prove that a 2 -4a+1=0
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a2 - 4a + 1 = 0
(2 + root 3) 2 - 4 × (2 + root 3) + 1 = 0
(7 + 4 root 3) - (8 + 4 root 3) + 1 = 0
(8 + 4 root 3) - (8 + 4 root 3) = 0
0 = 0
hence proved
(2 + root 3) 2 - 4 × (2 + root 3) + 1 = 0
(7 + 4 root 3) - (8 + 4 root 3) + 1 = 0
(8 + 4 root 3) - (8 + 4 root 3) = 0
0 = 0
hence proved
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