Between which two consecutive integers is the value of this irrational number?
square root of 117?
A. 8 and 9
B. 10 and 11
C. 14 and 15
D. 20 and 21
10 and 11
I agree with this answer
To find the two consecutive integers between which the value of the square root of 117 lies, we can calculate the square root of 117.
Using a calculator, we find that the square root of 117 is approximately 10.82.
Now we need to determine which consecutive integers contain this value. Between 10 and 11, we find that 10 < 10.82 < 11.
Therefore, the answer is:
B. 10 and 11
To determine between which two consecutive integers the value of the square root of 117 lies, we need to find the integers that "sandwich" the square root of 117.
The square root of 117 falls between two whole numbers that are its closest possible values. To find these values, we need to calculate the square root of 117:
√117 ≈ 10.82
Since the square root of 117 is approximately 10.82, it falls between two consecutive integers: 10 and 11.
Therefore, the answer is A. Between 8 and 9.