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Show that 2+√2 is not a rational no

Answer» Hi
Let\'s 2√2 is a rational number2√2/1=p/q2√2q=p2√2=p/qBecause p/q is a rational numberTherefore 2√2 is a rational numberWe known that 2√3 is a irrational numberTherefore the contradiction arises by assuming 2√2 is a rational numberThus 2√2 is a rational number


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