Question

how to prove an irrational number that it is an irrational number explain it with an example..​

plz no copy paste

Answer 1

Answer:

The number which is neither expressed as a recurring decimal nor as a terminating decimal is called irrational number.

Step-by-step explanation:

For Ex- 0.01001000100001

1.21221222122221

9.91991999199991

Answer 2

To prove that a number is irrational, first we have to assume that the number is rational.

For ex. √2 is rational

Then √2 can be written in p/q form.

So √2= p/q where p and q are prime to each other.

(√2)^2= p^2/q^2

=> 2q^2 = p^2

So from the above equation we find that q^2 is even as 2 is multiplied with Ur and so p^2 is also even and so p is even.

But two even numbers can't be prime .

Hence this contradicts our assumption that√2 is rational.

So √2 is irrational.........