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Show that 2 √2 is an irrational number

Answer» Let 2 root 2 is a rational number and a divided by b is the simplest form of the given number now a divided by b is equal to 2 root 2....That is a divided by 2 b is equal to root 2Now a divided by 2b is a rational number and so root 2 is also a rational number but this contradicts the fact that √2 is an irrational number.Hence our supposition was Wrong and so root 2 is an irrational number...


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