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Surds

Prove that 3 ...

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Prove that 3 is irrational.

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(3 - \sqrt{5})

is irrational.
Or, prove that

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

Prove that root 3 is an irrational number .Hence prove that 3(2 root 3) is an irrational number.

\sqrt{2}

is irrational and hence prove that

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

3 - \sqrt{3}

Prove that $\sqrt[3]{3}$ is irrational.

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