Question

Q) Classify y he following number as rational or irrational (i) root 11 (ii) 0.593 (iii) 2.08008008..... (iv) 59.4949...​

Answer 1

Question :- Classify the following number as rational or irrational (i) root 11 (ii) 0.593 (iii) 2.08008008..... (iv) 59.4949... ?

Solution :-

(i) √11

we know that 11 is not a perfect square number. Therefore, √11 is an irrational number.

(ii) 0.593

we can write 0.593 as (593/1000), in the form of p/q, where q is not equal to zero. Therefore, 0.593 is a rational number.

(iii) 2.08008008.....

The decimal expansion of the number is non-terminating and recurring. Therefore , 2.08008008..... is a rational number.

(iv) 59.4949.....

The decimal expansion of the number is non-terminating and recurring. Therefore , 59.4949..... is a rational number.

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