What is 108 square root to the nearest tenth
The Correct Answer and Explanation is :
The square root of 108, rounded to the nearest tenth, is 10.4.
Explanation:
Finding the square root of a number is the process of determining a value which, when multiplied by itself, equals the original number. In this case, we are calculating the square root of 108.
- Basic Concept of Square Roots:
If we take the square root of 108, we are asking: “What number, when multiplied by itself, gives us 108?” That number is approximately 10.3923. However, when we round this number to the nearest tenth, it becomes 10.4. - Why Rounding is Important:
In real-life applications, it is often impractical to use long decimal places. Rounding to the nearest tenth simplifies calculations, makes the number easier to interpret, and is often sufficient for estimation purposes. For instance, rounding 10.3923 to 10.4 provides a quick, easy-to-use value without losing too much accuracy. - Estimation Process:
Before performing the actual calculation, we know that (10^2 = 100) and (11^2 = 121). Since 108 falls between these two perfect squares, we know that its square root must be between 10 and 11. Using a calculator or a numerical method gives the precise value, but knowing that the square root lies in this range can help with mental estimates.
The result, 10.4, is close enough for most practical applications, including those in math, science, or even everyday tasks.