To find a rational number between √7 and √8, we can find the rational number that is halfway between these two values.
√7 ≈ 2.646
√8 ≈ 2.828
The rational number halfway between √7 and √8 can be found by calculating their average:
(2.646 + 2.828) / 2 = 2.737
To write this as an improper fraction, we can multiply it by 7 to get a denominator of 7:
2.737 * 7 = 19.159
Therefore, the rational number with a denominator of 7 between √7 and √8 is approximately 19.159/7.
What is a rational number with a denominator of 7 that is between √7 and √8. write your answer as an improper fraction
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1 answer