91Ó°ÊÓ

Square roots are a fundamental mathematical concept, representing a value that, when multiplied by itself, gives the original number. In this exercise, we find the square root of the number 9120. The square root is noted with the symbol \( \sqrt{} \).
For example, the square root of 25 is 5, because \( 5 \times 5 = 25 \). Similarly, to find the square root of any number, say \( n \), we look for a number \( x \) such that \( x \times x = n \). This operation helps simplify complex numerical problems, making it easier to interpret and work with large quantities.
Calculating square roots, especially for larger numbers like 9120, often requires a calculator for approximated results. In our exercise, the square root of 9120 is approximately 95.5.

Arithmetic operations are basic mathematical processes that include addition, subtraction, multiplication, and division. In this exercise, they are used to simplify the expression within the square root. Let's go through these operations step by step.

**Subtraction:** We start by performing subtraction in the expression: - First, calculate \( 26 - 12 \) which equals 14. - Next, \( 26 - 16 \) equals 10. - Finally, \( 26 - 24 \) equals 2.

This step provides us with the numbers 14, 10, and 2.

**Multiplication:** Once we have the results of the subtraction, these values are multiplied together along with 26. So, it becomes:

• \( 26 \times 14 \times 10 \times 2 = 9120 \)

These operations are vital for simplifying the expressions and allow us to get a clearer idea of the problem's quantitative aspects.

Rounding numbers is a technique used to simplify numerical figures, making them easier to use or communicate. When rounding, you change a number to its nearest whole number or another specified level of precision. In our exercise, after finding the square root of 9120 which is approximately 95.5, we need to round it.

**Rounding Rules:** - If the decimal part is 0.5 or higher, you round up the whole number. - If the decimal part is less than 0.5, you round down.
In our case, the decimal part is exactly 0.5. As per the rule, if the digit is midway between two possible outcomes, the common practice is to round up to the nearest even number. Thus, 95.5 rounds to 96. This approach, known as "round-half-to-even" or "bankers rounding," helps reduce bias in rounding large datasets over time.