Show an example of a rational number that is between √10 √11

3.4
16/5
3.1
10/3

9 answers

One example of a rational number between √10 and √11 is 16/5.

To verify that 16/5 lies between √10 and √11, we can convert them to decimal approximations:
√10 is approximately equal to 3.16228
√11 is approximately equal to 3.31662

The decimal approximation of 16/5 is 3.2, which falls between 3.16228 and 3.31662.
Therefore, 16/5 is a rational number that lies between √10 and √11.
Answer is
3.1
Which irrational number is between √14 √18

√13
√15
√10
√19
One irrational number that is between √14 and √18 is √15.

To verify that √15 lies between √14 and √18, we can convert them to decimal approximations:
√14 is approximately equal to 3.74
√18 is approximately equal to 4.24

The decimal approximation of √15 is approximately equal to 3.87.
Since 3.74 < 3.87 < 4.24, √15 is indeed an irrational number that lies between √14 and √18.
What's the answer
The answer is √15.
How many irrational numbers are there between √11 and √17
Six numbers
Four numbers
Twenty eight numbers
An infinite number
There are an infinite number of irrational numbers between √11 and √17.