Question

EXAMPLE-2.9 : classify the numbers as rational or irrational:. (i) √10 ,(ii)√49 ,(iii)0.025 ,(IV) 0.`76, (v)2.505500555...,(vi)√2/2. in fourth sum 76in up came bar​

Answer 1

Given: The numbers (i) √10 ,(ii)√49 ,(iii)0.025 ,(IV) 0.76 bar  (v)2.505500555...,(vi)√2/2.

To find: Classify the numbers as rational or irrational.

Solution:

• Consider the numbers:

           (i) √10

• This is an irrational number as it is not a perfect square.

           (ii) √49 = 7

• It is a rational number.

           (iii) 0.025

• It is a rational number as its a terminating decimal number.

           (iv) 0.76 (bar) = 0.7666….

• It is a rational number as it is a non-terminating and  recurring decimal expansion.

           (v) 2.505500555….

• It is an irrational number as it is a non - terminating and  non–recurring decimal.

           (vi) √2/2 = 1/√2

• It is an irrational number as 2 is not a perfect square  number.

Answer:

           So the classification is done as per the given numbers in solution part.

Answer 2

Step-by-step explanation:

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