The square root of 7 (
\sqrt{7}) is an irrational number. This means that it cannot be precisely expressed as a fraction of two integers. However, we can approximate it to make it easier to work with in various contexts.
When calculated, the numerical value of the square root of 7 is approximately 2.6457513110645906. This approximation can be rounded, depending on the required precision. For example, you may see it simplified to 2.65 or even just 2.6.
Since the square root of 7 is irrational, fractions like 26/10 or any other rational approximation may be used in calculations that require a simplification, but it’s important to remember that these are just estimates.
To express it as a continued fraction, the square root of 7 can be represented as [2; 1, 18]. This provides a method of approximating irrational numbers with fraction-like expressions, although it is not a fraction in the traditional sense.
In summary, the square root of 7 cannot be expressed as a fraction of two integers, but it can be approximated using various methods. The most accurate representation will always be the decimal form, while fractions can serve as convenient estimates for practical purposes.