Question

prove that 1/√2 is irrational​

Answer 1

Let us assume that 1/√2 is a rational number and it is equal to another rational number a/b,where b is not equal to zero.

Therefore,1/√2=a/b

1=a/b×√2

√2= b/a

We know that √2 is an irrational number.so,our assumption is wrong

1/√2 is an irrational number.

Hence Proved