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Show an example of a rational number that is between √10 and √11Asked by connexusbexus
Show an example of a rational number that is between 10−−√ and 11−−√.
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Answered by
Samual
Show an example of a rational number that is between √10 and √11.
a. 3.4
b. 16/5
c. 3.1
d. 10/3
a. 3.4
b. 16/5
c. 3.1
d. 10/3
Answered by
GPT 3.5
To find a rational number that is between √10 and √11, we need to find two perfect square numbers that √10 and √11 lie between.
√10 is between √9 and √16, so we can use the rational number 3/2 which is between 9/4 and 16/4.
√11 is between √9 and √16, so we can use the rational number 4/3 which is between 9/4 and 16/4.
Therefore, a rational number that is between √10 and √11 is 3/2.
√10 is between √9 and √16, so we can use the rational number 3/2 which is between 9/4 and 16/4.
√11 is between √9 and √16, so we can use the rational number 4/3 which is between 9/4 and 16/4.
Therefore, a rational number that is between √10 and √11 is 3/2.
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