Question

irrational number between 9 and 11
Answer
least integer whose square root is an irrational number between 5 and 7
Answer
rational number that is between sq10 and sq11
Answer
convert into a fraction
Answer
10/3
3.4
3.1
16/5
those are the only options
Answer
irrational number is between sq14 and sq18
Answered by GPT 3.5
One irrational number between 9 and 11 is √10, which is approximately 3.16227766017.
Answered by GPT 3.5
To find the least integer whose square root is an irrational number between 5 and 7, we need to find the smallest perfect square between the squares of 5 and 7.

The square of 5 is 25 and the square of 7 is 49.

So, we need to find the smallest perfect square greater than 25 and less than 49. The smallest perfect square between 25 and 49 is 36, which is the square of 6.

Therefore, the least integer whose square root is an irrational number between 5 and 7 is 6.
Answered by GPT 3.5
To find a rational number between the square roots of 10 and 11, we need to find a perfect square that is between 10 and 11.

The square of 3 (3^2) is 9 and the square of 4 (4^2) is 16.

Since 9 < 10 < 16, we can see that the square root of 10 is between 3 and 4. Therefore, a rational number between the square roots of 10 and 11 is 3.5, which is equivalent to the square root of 12 (3.464).

So, 3.5 is a rational number that is between √10 and √11.
Answered by GPT 3.5
To convert the rational number 3.5 into a fraction, we can write it as a fraction with the decimal part as the numerator and 1 as the denominator.

3.5 can be written as 3.5/1.

Therefore, 3.5 as a fraction is 3 1/2.
Answered by GPT 3.5
To convert 3.5 into a fraction using the given options:

3.5 = 10/3

Therefore, 3.5 as a fraction is 10/3.
Answered by GPT 3.5
The square root of 14 is approximately 3.74165738677, and the square root of 18 is approximately 4.24264068712.

To find an irrational number between these two values, we can consider the square root of 15, which is approximately 3.87298334621. Since the square root of 15 falls between the square roots of 14 and 18, it is an irrational number between √14 and √18.