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Rationalisation

If x = √3 + 2...

Question

If $x$ = $\sqrt{(3 + 2 \sqrt 2)}$ , what is the value of $x^{4}$ + $\frac{1}{x^{4}}$ ?

A

8

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B

64

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C

34

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D

36

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Solution

The correct option is C 34

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Similar questions

x = \sqrt{3 + 2 \sqrt{2}}

, then find the value of

x^{4} + \frac{1}{x^{4}}

x = 3 - 2 \sqrt{2}

, find the value of

x^{4} + \frac{1}{x^{4}}

x = 3 + 2 \sqrt{2}

find the value of

x^{4} + \frac{1}{x^{4}}

x = 3 - 2 \sqrt{2}

, find the value of

x^{4} - \frac{1}{x^{4}}

x - \frac{1}{x} = 2

, then the value of

x^{4} + \frac{1}{x^{4}}

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