Question

(2+√2)(2-√2)classify as rational and irrational​

Answer 1

$(2 + \sqrt{2} )( 2 - \sqrt{2} ) \\ = {(2)}^{2} - {( \sqrt{2} )}^{2} \\ = 4 - 2 = 2$

$solved \: by \: using \:identity \: \\ (a + b)(a - b) = {a}^{2} - {b}^{2} \\ where \: \: \: \: a = 2 \\ and \: \: \: \: b = \sqrt{2}$

Answer: 2

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Answer 2

Answer:

(2+√2)(2-√2) is rational number