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Evgen [1.6K]
3 years ago
5

The sum of a rational number and an irrational number produces an irrational number.

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

Answer:

True. By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats. If you add a non-repeating, non-terminating decimal to a terminating decimal, you still have a non-repeating, non-terminating decimal. If you add a non-repeating, non-terminating decimal to a repeating decimal, you will no longer have a repeating decimal, so the result is irrational.

sashaice [31]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Example: sqrt(5) (which decimals continue forever) will mean that if you did 5+sqrt(5) it would still have those decimals.

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