Question

prove that 4by root 2 is irrational​

Answer 1

Answer:

Step-by-step explanation:

Let 4/√2 = irrational

=4/√2= p/q (where p and q are co primes and q is non zero)

√2 = 4(p/q)

We know that √2 is irrational number

But 4(p/q) is rational

It is a contradiction

Hence 4/√2 is irrational number.

Hope it helps

Please make it brainliest

And follow me

Answer 2

Step-by-step explanation:

Let 4√2 be rational no of form p/q.

4\√2 = p/q

√2=4q/p

RHS is rational according to our assumption.

But we know the fact that √2 is an irrational number.

Hence our assumption was wrong.

Therefore 4/√2 is an irrational number.

#HenceProved