Question

Show that 4 v2 is an irrational number.​

Answer 1

Given that :- 4√2

To prove :- 4√2 is an irrational number .

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...