Question

Select "Rational" or "Irrational" to classify each number.

Rational
Irrational
23
π
400−−−√
36√2

Answer 1

1. Rational.
2. Irrational (famous for being irrational).
3. Rational.
4. I think this is irrational.

Answer 2

Rational: A number is rational if it can be written in the form of p/q, where q≠0, and it is terminating if q is of the form
`2^(m) or 5^(n) or 2^(m) * 5^(n)` where m and n are whole numbers or non terminating repeating.

Irrational number: A number which can't be written in the form of p/q, i.e the number after decimal does not terminates.It is non terminating repeating.

1. 2/3 =0.66666...(non terminating repeating) = Rational

2. π =3.14159 26535 ........(non terminating non repeating)=Irrational

3.√400 =20 (terminates)=Rational

4. 36√2 = as √2=1.414.....(non terminating non repeating)=Rational×Irrational=Irrational