Question

(1) Show that 4 V2 is an irrational number
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Answer 1

Answer:

Step-by-step explanation:

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.