Answer :
Formula used.
(a + b)2 = a2 + b2 + 2ab
(a + b)3 = a3 + b3 + 3ab(a + b)
Let a = m and b =
(a + b)2 = a2 + b2 + 2ab
(m + )2 = m2 +
2 + 2 × m ×
(√3)2 = m2 + + 2 × 1
3 = m2 + + 2
m2 + = 3 – 2 = 1
(a + b)3 = a3 + b3 + 3ab(a + b)
(m + )3 = m3 +
3 + 2 × m ×
× (m +
)
(√3)3 = m3 + + 2 × 1 × (√3)
3√3 = m3 + + 2√3
m3 + = 3√3 – 2√3 = √3[3 – 2]
= √ 3
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