strawberrysalazar1
strawberrysalazar1 strawberrysalazar1
  • 22-04-2022
  • Mathematics
contestada

Given a rational number, a, and an irrational number, b, prove that the sum of a and b is irrational.



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kermitthefrog4242
kermitthefrog4242 kermitthefrog4242
  • 22-04-2022
Assume a is rational, b is irrational, and a + b equals a. We can express a and a + b as fractions since they are reasonable. Because this is our paradox, the sum of a rational and an irrational number must be irrational.
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