Classify the following numbers as rational or irrational with justification:
(1 + √5) − (4 + √5)
The given number is rational number.
Justification:
Consider (1 + √5) – (4 + √5) = 1 – 4 + √5 -√5
= 1 – 4
= 3, which is rational.
Thus, (1 + √5) – (4 + √5) is rational.
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