Question

classify the following numbers as rational or irrational.
(I)√27
(ii)√441
(iii)30.232342345...
(iv)7.484848..
(v)11.2132435465
(vi)0.3030030003..​

Answer 1

Answer:

Rational numbers

can be represented as p/q  where p & q are integers & q ≠ 0

Rational numbers are terminating decimals or non- terminating repeating decimals

Rational number

√441 = √21² = 21  = 21/1  

7.484848.......  =  741/99    ( non terminating repeating decimal)

30.232342345 = 30232342345/1000000000    ( terminating Decimal)

11.2132435465 = 112132435465/10000000000    ( terminating Decimal)

Irrational numbers are non terminating non repeating decimals

or surd of non perfect squares

Irrational numbers

√27 = 3√3   -  Surd

0.3030030003.....   non terminating non repeating decimal

2.22 is a - Rational number Irrational number Integers Natural ...

Answer 2

Answer:

$\mathbb\purple{question} \\ classify \: into \: rational \: or \: irrational$

$\mathbb\green{AnSwEr}$

i. √27 is a irrational

ii. √441 is a rational

iii. 30.232342345... is a irrational

iv. 7.484848... is a irrational

v. 11.2132435465 is a rational

vi. 0.3030030003.. is a irrational.

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