Question

Classify the following numbers as rational or irrational.i. √27ii. √441iii. 30.232342345iv. 7.484848...v. 11.2132435465vi. 0.3030030003...reason with answer

Answer 1

Given :  Few numbers  : √27   ,  √441   ,  30.232342345...  ,

, 7.484848...   , 11.2132435465 ,  0.3030030003.....

To find : Classify them as rational or irrational number

Solution:

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

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