Question

Select Rational or Irrational for each number.

2.876

−16−−√

3π

23/40

Answer 1

2.876 - rational

−16−−√ - rational

3π - rational

23/40 - rational

they are all rational

Answer 2

A number is said to be rational if it can be written in the form of
`(p)/(q)`,

such that ,q≠0.

Or, if written in terms of decimals it will be either terminating Decimal or non terminating repeating decimal.

⇒A number is said to be Irrational if it can't be written in the form of
`(p)/(q)`,

such that ,q≠0.

Or, if written in terms of decimals it will be either non terminating Decimal or non terminating non repeating decimal.For example

`=√(2),√(3),8\pi`

1.→2.876=Rational

2.→√16=4=Rational

3.→3π=Irrational

4.→
`(23)/(40)\\\\=0.575`=Rational