Prove that is an irrational number.Prove that is an irrational number.Prove that 23-1 is an irrational number.

Prove that is an irrational number.
Prove that is an irrational number.
Prove that $2 \sqrt{3} - 1$ is an irrational number.

Matching exercise

Match the items on the right to the items on the left.

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