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irrational
Step-by-step explanation:
use (a + b)^2 = a^2 + b^2 + 2ab
(2 + √2)√2 = 4 + 2 + 4√2 = 6 + 4√2
now since...6 + 4√2 is a sum of rational and irrational.....
(2 + √2)√2 is irrational
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