Let a be a rational number and b be an irrational number. Which of the following are true statements?

Question

Mathematics

Banjo

26 May, 19:15

Let a be a rational number and b be an irrational number. Which of the following are true statements?

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Answers (1)

Know the Answer?

Genevieve Gomez · Answer 1

The following must be true:

For any nonzero rational constants m, n,

ma+nb is irrational

For any nonzero rational constant m and nonzero integral constant n,

mb (a^n) and m (a^n) / b are irrational