Question

Show that 4√2 is an irrational number

Answer 1

Let's do it by contradictory method

4√2 as rationa l no

4√2=p/q(where p,belongs to integers p,a are co primes)

4√2=p/q

√2=p/q×1/4

√2=p/4a

As we know that a rational no is never be equal to an irrational no

Hence 4√2is irrational (rhs not equal to lhs)