Question

Show that 3root2 is irrational.​

Answer 1

Answer:

• if this question come in exams for 4 marks then you have to also prove that root 2 is an irrational number.

Answer 2

Step-by-step explanation:

Let us assume to the contrary that 3√2 is rational.

Then we get two integer p and q which can be written in the form 3√2=p/q (q≠0).

= √2=p/3q

p and 3q are integers

hence, √2 is rational

but, we know that √2 is irrational

Hence, this contradiction arrises because of our wrong assumption that 3√2 is rational

hence, 3√2 is irrational

HENCE PROVED