Show an example of a rational number that is between √ 10
and √ 11
3.4
3.1
10/3
16/5
The rational number 10/3 is between √10 and √11.
To find a rational number between √10 and √11, we can express both square roots as fractions and find a fraction that lies between them.
Let's start:
√10 can be expressed as the fraction √10/1.
√11 can be expressed as the fraction √11/1.
To find a rational number between √10 and √11, we can convert both fractions to decimals and find a decimal that lies between them.
√10 ≈ 3.16 (approximately)
√11 ≈ 3.32 (approximately)
Therefore, a rational number between √10 and √11 is 3.2 (or 16/5), since it lies between 3.16 and 3.32.