Question
Classify the following numbers as rational or irrational with justification:$\Big(1+\sqrt{5}\Big)-\Big(4+\sqrt{5}\Big)$
✓
Answer
$\Big(1+\sqrt{5}\Big)-\Big(4+\sqrt{5}\Big)$ $=1-4+\sqrt{5}-\sqrt{5}=-3$ Hence, it is a rational numbers.
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