Which of the following is an irrational number?
1) √23
2) √225
3) 0.3796
4) 7.478478
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Answers
Answer:
(i) √23 We know that on finding the square root of √23, we will not get an integer. Therefore, we conclude that 23 is an irrational number. (ii) √225 We know that on finding the square root of √225, we get 15, which is an integer. Therefore, we conclude that 225 is a rational number. (iii) √0.3796 We know that 0.3796 can be converted into p/q while, converting 0.3796 into p/q form, we get 0.3796 = 3796/10000 . The rational number 3796/10000 can be converted into lowest fractions, to get 949/2500 We can observe that 0.3796 can be converted into a rational number. Therefore, we conclude that 0.3796 is a rational number.Read more on Sarthaks.com - https://www.sarthaks.com/111284/classify-the-following-numbers-as-rational-or-irrational-i-23-ii-225-iii-0-3796
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