To determine which irrational number is between √14 and √18, we need to compare the values of these two numbers and the options provided.
√14 is approximately 3.74, and √18 is approximately 4.24.
√13 is approximately 3.61, which is less than √14.
√19 is approximately 4.36, which is greater than √18.
√15 is approximately 3.87, which lies between √14 and √18.
√10 is approximately 3.16, which is less than √14.
Therefore, the irrational number that is between √14 and √18 is √15.
The correct answer is C. √15.
Which irrational number is between √14 and √18?
A. √13
B. √19
C. √15
D. √10
3 answers
How many irrational numbers are there between √11 and √17?
A. An infinite number
B. Four numbers
C. Twenty-eight numbers
D. Six numbers
A. An infinite number
B. Four numbers
C. Twenty-eight numbers
D. Six numbers
To determine how many irrational numbers are between √11 and √17, we need to compare the values of these two numbers and consider the nature of irrational numbers.
√11 is approximately 3.32, and √17 is approximately 4.12.
Since irrational numbers cannot be expressed as a fraction or a terminating or repeating decimal, there are infinitely many irrational numbers between any two distinct real numbers.
Therefore, the correct answer is A. An infinite number.
√11 is approximately 3.32, and √17 is approximately 4.12.
Since irrational numbers cannot be expressed as a fraction or a terminating or repeating decimal, there are infinitely many irrational numbers between any two distinct real numbers.
Therefore, the correct answer is A. An infinite number.