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

Answer:

A number is said to be rational if it can be written in the form of $\frac{p}{q}$,

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 $\frac{p}{q}$,

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

   $=\sqrt{2},\sqrt{3},8\pi$

1.→2.876=Rational

2.→√16=4=Rational

3.→3π=Irrational

4.→$\frac{23}{40}\\\\=0.575$=Rational