Question

classify the following as rational or irrational
(a) [√3+√2][√3-√2]
(b) π
(c) 0.132132132
(d) 2.345
(e) 9.101001001​

Answer 1

(a).(a) [√3+√2][√3-√2]

Since, a, b are integers, (a2 + b2)/2ab is a rational number. √3 is a rational number. It contradicts to our assumption that √3 is irrational.

(b).(b) π

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

(c). 0.132132132

irrational

(d) 2.345

rational

.(e) 9.101001001​

Irrational