x + 1/x = √3 হলে x³ + 1/x³ এর মান-

\(x + \frac{1}{x} = \sqrt{3}\) হলে,

\(x^3 + \frac{1}{x^3} = \left(x + \frac{1}{x}\right)^3 - 3\left(x + \frac{1}{x}\right)\)

\(= (\sqrt{3})^3 - 3\sqrt{3} = 3\sqrt{3} - 3\sqrt{3} = 0\)

সূত্র: \(a^3 + \frac{1}{a^3} = \left(a + \frac{1}{a}\right)^3 - 3\left(a + \frac{1}{a}\right)\)