Show an example of a rational number that is between √10 and √11.(1 point)
Responses
16 over 5
Start Fraction 16 over 5 end fraction
3.4
3.1
10 over 3
10/3
To find a rational number between √10 and √11, we can express the square roots as fractions using decimals.
First, let's find the decimal values for √10 and √11:
√10 ≈ 3.1622
√11 ≈ 3.3166
A rational number that lies between 3.1622 and 3.3166 is 3.2 (or 16/5 in fraction form). So, the example of a rational number that is between √10 and √11 is 16/5 or 3.2.