Question

prove that 1 by root 3 is irrational number​

Answer 1

Answer:

Proved

Step-by-step explanation:

Let us assume that 1/ root 3 is rational

⇒ 1/ root 3 × root 3/ root 3 = root 3/ root 3 is rational

which is only possible if 1/3 is rational and root 3 is rational. as we know that, product of two rational numbers is rational.

But the fact is root 3 is an irrational

Which is contradictory to our assumption.

which implies 1/ root 3 is irrational. hence proved.