The 115−−−√ is an irrational number between 10 and 11. Give two more examples of irrational numbers between 10 and 11.
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Step-by-step explanation:
10.472 is the irrational number
between 10 and 11
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Question :- The √115 is an irrational number between 10 and 11. Give two more examples of irrational numbers between 10 and 11. ?
Solution :-
As we know that, if the square root of an integer is not an integer, then it is an irrational number.
Now,
→ 10 = √100
and,
→ 11 = √121
Therefore,
All Numbers between 100 and 121 are irrational numbers. ( As they are not a square number .)
Hence,
→ Irrational numbers between 10 and 11 or, √100 and √121 , except √115 are :- √101, √102, √103, √104, √105, √106, √107, √108, √109, √110, √111, √112, √113, √114, √116, √117, √118 , √119 and √120.
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