Classify the following numbers as rational or irrational with justification:

$(i)$ $0.5918$

$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})$

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$(i)$ $0.5918$ is a terminating decimal expansion. Hence, it is rational number.

$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})=-3,$ which is a rational number.

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