Question

prove that 3 into root2 is irrational​

Answer 1

Answer:

Let us assume the opposite,

I.e, 3√2 is rational

hence. 3√2 can be written in the form a/b

where a and b are not equal to 0(no common factor other than 1)

hence., 3√2 =a/b

√2= 1/3 *a/b

√2 = irrational

a/3b = rational number

since, Rational is not equal to irrational

This is a contradiction

hence, Our assumption is incorrect

hence, 3√2 is irrational