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Operations on Irrational Numbers

Prove that √(...

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Prove that \sqrt[{}]{11} is irrational

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\sqrt{5}

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(2 - \sqrt{5})

is also irrational.

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\sqrt{2}

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\frac{5 - 3 \sqrt{2}}{7}

\frac{3}{\sqrt{5}}

is irrational, given that

\sqrt{5}

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