Question

Show that 4√2 an I national number

Answer 1

Step-by-step explanation:

Let us assume that 4√2 is a rational number.

So, 4√2 = r

where, r is rational.

Now,

√2 = r/4

Here, we can see that the RHS is purely rational while LHS is irrational.

This contracts our assumption that 4√2 is a rational number.

Hence, 4√2 is an irrational number.