Question

how to find an irrational number? is -1.2(countinues) an irrational number?

Answer 1

1.2222222........is not irrational because it repeats.

Answer 2

so it is rational?

Answer 3

Yes.

Answer 4

1.222222222... = 11/9 so it is rational

Answer 5

irrationals cannot be written as p/q where p and q are integers

Answer 6

thank you everyone :))

Answer 7

If a terminating or non-terminating decimal can be represented as p/q form where p and q are integers and \(q \neq 0 \) Then that number is a rational number.

Answer 8

to generate some irrational numbers , let k be any rational, then

k + sqrt(2) is irrational

Proof:
let k = p/q
assume k + sqrt(2) = m/n (assume it is rational)

p/q + sqrt(2) = m/n

sqrt(2) = (mq -pn)/nq)

contradiction since sqrt(2) is itself irrational