Question

1. State, whether the following numbers are
rational or not.
(1) (2 + √2)square​

Answer 1

(2 + √2)∧2 = 4+4√2+2 = 6+4√2 [(a + b)∧2 = (a)∧2 + 2ab + (b)∧2]

∵4√2 is irrational, ∴6+4√2 is also irrational.

Hence, (2 + √2)∧2 is not rational.

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