show that 4√2is an irrational number
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We shall prove this by the method of Contraction . so let us assume that 4√2 is a Rational Number .
4√2 = r
√2 = r/4
Now, we know √2 is an irrational number.
So RHS { r/4 } cannot be rational . As then the equation will be false .
So our Assumption is Wrong .
Hence , 4√2 is an irrational number....
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