If a and b are rational numbers, with b ≠ 0, and r is an irrational number, then a + b r is irrational.
Added by Carl W.
Step 1
We know that a and b are rational numbers, so we can write them as fractions: $a = \frac{m}{n}$ and $b = \frac{p}{q}$, where $m, n, p, q$ are integers and $n, q \neq 0$. Show more…
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