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Identities of Mathematical Operations

If x=2+33, th...

Question

If x = $\sqrt[3]{2 + \sqrt{3}}$ , then $x^{3} + \frac{1}{x^{3}} =$

(a) 2

(b) 4

(c) 8

(d) 9

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Solution

Given that .It can be simplified as

We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Therefore,

Hence the value of the given expression is.

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Identities of Mathematical Operations

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