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11 March, 17:14

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

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Answers (2)
  1. 11 March, 18:03
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    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.
  2. 11 March, 20:40
    0
    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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