Question

2. Classify as rutional or irrational number:
(1) 0.4131313... (2)√41 (3)1.232232223....
(4) 1.001001...... (5) 2/√3 (6) √1.44​

Answer 1

Answer:

(1) Rational number

(2) Irrational number(√41=6.4031....)

(3) Irrational number

(4) Rational number

(5) Irrational number(2/√3=1.547.....)

(6) Rational number (√1.44=1.2)

Decimal expansion which is terminating or non terminating and recurring are rational numbers.

Decimal expansion which is non terminating and non recurring are irrational numbers.

Answer 2

First uh have to know the property of rational and irrational so,

rational:-

it cant be in root form.

it can be terminating, nonterminating repeating

irrational :-

it can be in root form

it will be non terminating non repeating

so,

(i) it will be rational as its nonterminating repeating.

(ii) its irrational as its simplest form is in root.

(iii) its irrational cuz it is nonterminating non repeting

(iv) its irrational as it is non terminating no repeting

(v) its irrational as its simplest form is in root

(vi) it is rational as its simplest form is not in root that is 1.2