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Simplifying an expression often makes it easier to understand and work with. This process involves reducing the expression to its most basic form by removing any unnecessary complexities like roots in the denominator. In the given problem, we start with an expression \( \frac{1}{\sqrt{5}} \). The denominator is a square root, which isn't as straightforward to deal with as a regular number. By simplifying, we aim to make calculations and comparisons simpler. The key to this process in the current problem is rationalization. It involves multiplying the fraction by a form of 1 that will remove the square root from the denominator. By multipling both the numerator and the denominator by \( \sqrt{5} \), the fractional expression is transformed to \( \frac{\sqrt{5}}{5} \), which is easier to comprehend.

Understanding how to multiply radicals is an important part of simplifying expressions. When you encounter a radical, such as \( \sqrt{5} \), multiplying it by itself gives a whole number, because radicals are the inverse operation of squaring. In our expression \( \frac{1}{\sqrt{5}} \), we multiply both the numerator and the denominator by \( \sqrt{5} \). This action essentially uses the fact that \( \sqrt{5} \) times \( \sqrt{5} \) equals 5, which is a whole number. Multiplying radicals maintains their properties and only changes the fractional representation slightly. This action helps us in eliminating the square root from the denominator and simplifying the overall expression.

Square roots are mathematical expressions that represent a number which, when multiplied by itself, results in the original number within the root. The symbol \( \sqrt{} \) is used to denote the square root of a number. For example, \( \sqrt{5} \) means a number which squared equals 5. Square roots are considered irrational numbers when they do not result in a whole number. In the expression \( \frac{1}{\sqrt{5}} \), the square root appears in the denominator, which can complicate arithmetic operations. By removing or rationalizing the square root from the denominator, we create easier-to-use expressions for further calculations. The process we follow is grounded in the fundamental characteristics of square roots themselves, and illustrates how mathematics helps streamline expressions for practical purposes.