The perfect squares between 25 (5^2) and 49 (7^2) are 36 (6^2) and 49 (7^2).
The square root of 36 is 6, which is not an irrational number.
Therefore, the least integer whose square root is an irrational number between 5 and 7 is 49.
what is the least integer whose sqaure root is an irrational number between 5 and 7
9 answers
what is the least integer whose sqaure root is an irrational number between 5 and 7
responses
13.
6.
25.
26.
responses
13.
6.
25.
26.
The square root of 26 is an irrational number between 5 and 7.
Therefore, the correct answer is 26.
Therefore, the correct answer is 26.
show an example of a rational number that is between \/10 and \/11
responses
16_5
3.4
10_3
3.1
responses
16_5
3.4
10_3
3.1
To determine whether a number is rational or irrational, we need to assess if it can be expressed as a fraction.
The square root of 10 is an irrational number, while the square root of 11 is also irrational.
Therefore, none of the given responses (16_5, 3.4, 10_3, 3.1) represent rational numbers that are between √10 and √11.
The square root of 10 is an irrational number, while the square root of 11 is also irrational.
Therefore, none of the given responses (16_5, 3.4, 10_3, 3.1) represent rational numbers that are between √10 and √11.
which irrational number is between \/14 and \/18
To find an irrational number between the square roots of 14 and 18, we can consider the square root of the average of these two numbers.
The average of 14 and 18 is (14 + 18)/2 = 32/2 = 16.
So, the square root of 16 is an irrational number between √14 and √18.
The square root of 16 is 4, which is a rational number.
Therefore, there is no irrational number between √14 and √18.
The average of 14 and 18 is (14 + 18)/2 = 32/2 = 16.
So, the square root of 16 is an irrational number between √14 and √18.
The square root of 16 is 4, which is a rational number.
Therefore, there is no irrational number between √14 and √18.
which irrational number is between \/14 and 18\/
response
\/13
\/10
\/15
\/19
response
\/13
\/10
\/15
\/19
To find an irrational number between the square root of 14 and the square root of 18, we can consider the average of these two numbers.
The average of the square roots of 14 and 18 is (√14 + √18)/2.
√14 is approximately 3.74, and √18 is approximately 4.24.
So, the average is (3.74 + 4.24)/2 = 8.98/2 = 4.49.
The square root of 4.49 is an irrational number between the square root of 14 and the square root of 18.
Therefore, √4.49 is approximately **2.118** and is an irrational number between √14 and √18.
Among the given options, none of them match this result.
The average of the square roots of 14 and 18 is (√14 + √18)/2.
√14 is approximately 3.74, and √18 is approximately 4.24.
So, the average is (3.74 + 4.24)/2 = 8.98/2 = 4.49.
The square root of 4.49 is an irrational number between the square root of 14 and the square root of 18.
Therefore, √4.49 is approximately **2.118** and is an irrational number between √14 and √18.
Among the given options, none of them match this result.