Show an example of a rational number that is between √10 √11
3.4
16/5
3.1
10/3
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.
To determine which of the given numbers is a rational number between √10 (√10 is approximately 3.162) and √11 (√11 is approximately 3.317), we can compare the decimal values of the numbers to determine if they are rational or not.
A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers.
Examining the given numbers:
1) 3.4: This is a decimal number and can be converted to a fraction by writing it as 34/10. This is a rational number.
2) 16/5: This is a fraction, and hence a rational number.
3) 3.1: This is also a decimal number, which can be written as 31/10. It is a rational number.
4) 10/3: This is a fraction, and therefore a rational number.
To summarize, all the given numbers are rational numbers, and each of them can be expressed as a fraction.