2 –√5 is a rational number.
We know that, √5 = 2.2360679…
Here, 2.2360679…is non-terminating and non-recurring.
Now, substituting the value of √5 in 2 –√5, we get,
2-√5 = 2-2.2360679… = -0.2360679...
Since the number, – 0.2360679…, is non-terminating non-recurring, 2 –√5 is an irrational number.
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