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Exponential Representation for Irrational Numbers

Evaluate √3...

Question

Evaluate ${(\sqrt{3} + \sqrt{2})}^{6} - {(\sqrt{3} + \sqrt{2})}^{6}$ ?

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Solution

As two number are same their difference = 0

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(\sqrt{3} - \sqrt{2})^{6} + (\sqrt{3} + \sqrt{2})^{6}

(\sqrt{3} + \sqrt{2})^{6} - (\sqrt{3} - \sqrt{2})^{6}

{(\sqrt{3} + \sqrt{2})}^{6} - {(\sqrt{3} - \sqrt{2})}^{6}

Q. Evaluate (38)³ + (-26)³ + (-12)³.

lim x \to 1 \frac{2 x - 2}{\sqrt[3]{26 + x} - 3}

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