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GuDViN [60]
3 years ago
13

Explain why the sum of a rational number and an irrational number is always irrational

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

(write this in your own words)

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