The statement that best describes the value of the square root of 8 is The value of 8 is between 2 and 3 correct option is c.
Estimate: Initially, you can make an estimate based on known square roots. For instance, the square root of 4 is 2, and the square root of 9 is 3. Since 8 is between 4 and 9, its square root is likely between 2 and 3.
Using division: We'll use a method like long division to approximate the square root of 8.
Start with an approximation.
2.5 * 2.5 = 6.25 (which is too low)
3 * 3 = 9 (which is too high)
Refinement using averages:
The actual value lies between 2.5 and 3.
To get a better approximation, take the average: (2.5 + 3) / 2 = 2.75
2.75 * 2.75 = 7.5625
Further refinement:
The square of 2.8 is 7.84 (closer but still higher).
Continuing with the average:
The average of 2.8 and 2.75 = 2.775
2.775 * 2.775 = approximately 7.705
Final approximation: By this iterative process, the square root of 8 is about 2.83, which is between 2 and 3.
Therefore, the value of the square root of 8 is between 2 and 3, closest to 2.83.
complete the question
which statement best describes the value of square root of 8?
a. the value of 8 is 2
b. the value of 8 is 4
c. the value of 8 is between 2 and 3.
d. the value of 8 is between 7 and 9.