Question

9.
Classify the following numbers as rational or irrational :
(ii) √225
(1) √23
(v) 1.101001000100001...
(iii) 0.3796
(iv) 7.478478...​

I know the direct answer of the q. but just please tell me on what basis are these numbers characteristised into rational or irrational​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Solve the given expressions 

(1) 23=4.795831523'

The decimal expansion is non terminating non recurring.

∴23 is a irrational number.

(2)225=15 

∴225 is a rational number.

(3) 0.3796 is the decimal expansion is terminating.

So 0.3796 is a rational number.

(4) 7.478478=7.478 is the decimal expansion is non termination and recurring.

7.478478is a rational number.

(5) 1.101001000100001 is the decimal expansion is non termination and non recurring. 71.101001000100001 is a irrational number.