Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. √9/25

Key Concepts

Radical Expressions

Radical expressions involve roots, such as square roots, cube roots, etc. The square root of a number 'x' is a value that, when multiplied by itself, gives 'x'. Understanding how to manipulate these expressions is crucial for simplifying and performing operations on them.

Simplifying Radicals

Simplifying radicals involves reducing the expression to its simplest form. This often includes factoring out perfect squares from under the radical sign. For example, √(a/b) can be simplified to √a/√b, which is essential for performing operations like addition, subtraction, or division of radical expressions.

Properties of Square Roots

The properties of square roots include rules such as √(a*b) = √a * √b and √(a/b) = √a / √b. These properties allow for the manipulation of square roots in expressions, making it easier to perform operations and simplify results, especially when dealing with fractions.