Prove that if r is a nonzero rational number, then r can be expressed as the...

  

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Prove that if r is a nonzero rational number, then r can be expressed as the product of two irrational numbers. You can use the fact that √2 is irrational without any additional proof. You must prove that other numbers are irrational. Use the rules of natural deduction to prove: pVq (p^q) →r Prove that if r is a nonzero rational number, then r can be expressed as the product of two irrational numbers. You can use the fact that √2 is irrational without any additional proof. You must prove that other numbers are irrational. Use the rules of natural deduction to prove: pVq (p^q) →r