Unleash the Power of Radicals!

Effortlessly add and simplify radical expressions with our interactive tool.

Radical Expression Addition Tool

Enter up to three radical expressions to calculate their sum. Use functions like sqrt() for square root.

First Radical Expression (e.g., sqrt(8))

Second Radical Expression (e.g., 2*sqrt(2))

Additional Radical Expressions (optional, comma-separated) (e.g., sqrt(50), 3*sqrt(2))

Sum of Radical Expressions:

Understanding Radical Expressions

Radical expressions are mathematical expressions containing a radical symbol (√), which denotes a root, such as a square root or cube root. They consist of a radicand (the number or expression under the radical symbol) and an index (indicating the type of root, like 2 for square root, 3 for cube root, etc., though the index is often omitted for square roots).

Adding radical expressions requires simplifying them first, if possible, to identify like radicals (radicals with the same index and radicand). Only like radicals can be directly added by summing their coefficients. For example, to add \(2\sqrt3\) and \(4\sqrt3\), you simply add the coefficients to get \(6\sqrt3\). If radicals are not alike, they cannot be simplified further into a single radical term unless they can be simplified to become like radicals. This tool helps you calculate the sum of multiple radical expressions, simplifying the process and providing accurate results.

For further reading, you can explore resources on algebraic expressions and radical simplification on Khan Academy or similar educational platforms.