Question

show that 3√2is irrational​

Answer 1

let us assume to the contrary that 3 root 2 is rational

3root 2= p/q

here p and q are co prime numbers and q is not equal to 0

root2 = p/3q

since p/3q is rational , therefore root 2 is rational

but this contradicts the fact that root 2 is irrational

this contradiction has arisen due to our incorrect assumption that 3 root 2 is rational

therefore 3 root 2 is irrational

hence proved

Answer 2

3√2 is an irratioal.....

Assuming that 3√2 is a rational number

The reduced form of rational number is p/q

So,

3√2= p/q

p/3√2= q

Here, the value of q come irrational number.

The assumption is contradictory wrong....

So, 3√2 is an irrational number....

Hope it helps u....❤️✌️✌️