Question

prove that this is a irrational number?​

Answer 1

Let us assume

$1/√2$ is rational.

So we can write this number as

$→1√2 = ab ---- (1)$

Here, a and b are two co-prime numbers and b is not equal to zero.

Simplify the equation (1) multiply by 2 both sides, we get

$1= b a√2$

Now, divide by b, we get

$b=a ^2 /; or /; ab = 2$

Here, a and b are integers so,

ab is a rational number,So ,√2 should be a rational number.

But √2is a irrational number, so it is contradictory.

Therefore,

$→1/√2$ is irrational number.

Answer 2

Answer:

it is irrational no bro it is confirmed