Question

Examine rational and irrational number
(Root2+2) square

Answer 1

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$\implies( \sqrt{2} + 2) {}^{2} \\ \\ = ( \sqrt{2}) {}^{2} + 2( \sqrt{2})(2) + (2) { }^{2} \\ \\ = 2 + 2 \sqrt{2} + 4 \\ \\ = 6 + 2 \sqrt{2} \\ \\ = irrational$