Question

सिद्ध करो कि 1 बटा अंडर रूट 2 एक अपरिमेय संख्या है​

Answer 1

Step-by-step explanation:

We have to prove 1/root 2 is irrational.

Let us assume the opposite,

that is 1/root 2 is rational.

Hence 1/root can be written in the firm a/b

where a and b (b is not equal to zero) are co-prime .( no other factor than 1)

Hence, 1root 2 =a/b.

b/a = root2

where b/a is rational and root 2 is irrational.

Since rational is not equal to irrational.

this is a contradiction.

so , our assumption is incorrect.

Hence, 1/ root 2 is irrational.

Hence proved.