Prove that root 7 divided by 2 is irrational

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Prove that 7 root 5 is irrational

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

\sqrt{2}

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

Prove that root 2 + root 5 is an irrational number

7 + \sqrt{2}

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