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Irrational Numbers

Prove that √3...

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Prove that √3+√5 .is irrational

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\sqrt{2}

is irrational and hence prove that

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

(3 - \sqrt{5})

is irrational.
Or, prove that

\frac{2 \sqrt{2}}{3}

(5 - \sqrt{3})

is irrational.
Or, prove that

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

\sqrt{5} + \sqrt{3}

3 - \sqrt{5}

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