If x = \(\sqrt[3]{2+\sqrt3}\), then x3 + \(\frac{1}{x^3}\) =A. 2B. 4C

1.	If x = \(\sqrt[3]{2+\sqrt3}\), then x3 + \(\frac{1}{x^3}\) =A. 2B. 4C. 8D. 9
Answer» Given x = \(\sqrt[3]{2+\sqrt3}\) = x³ = 2 + √3 Similarly, \(\frac{1}{x^3}\) = 2 - √3 X³ + \(\frac{1}{x^3}\) = 2 +√3 + 2 - √3 = 4.

If x = \(\sqrt[3]{2+\sqrt3}\), then x3 + \(\frac{1}{x^3}\) =A. 2B. 4C. 8D. 9

Answer»

Given x = \(\sqrt[3]{2+\sqrt3}\)

= x³ = 2 + √3

Similarly, \(\frac{1}{x^3}\) = 2 - √3

X³ + \(\frac{1}{x^3}\) = 2 +√3 + 2 - √3 = 4.

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