Adding and Subtracting Radicals Calculator

Easily add or subtract radical expressions. Enter the coefficients and the radicand to get started!

Coefficient 1

Coefficient 2

Radicand

Operation:

Result:

Visual Representation

Understanding Adding and Subtracting Radicals

Radicals, often represented by the square root symbol (√), are used to find a root of a number. Adding or subtracting radicals is similar to combining like terms in algebra. For radicals to be added or subtracted, they must be 'like radicals'. This means they must have the same radicand (the number under the radical symbol) and the same index (the root being taken, which is 2 for square root, if not specified).

Formula: To add or subtract like radicals, you simply add or subtract their coefficients while keeping the radicand the same:

Example: To calculate \( 3\sqrt2 + 4\sqrt2 \), we add the coefficients (3 and 4) and keep the radicand (\(\sqrt2\)) the same, resulting in \( (3+4)\sqrt2 = 7\sqrt2 \).

This tool helps you quickly perform these operations, simplifying radical expressions efficiently.

For further reading, you can explore resources on algebraic simplification and radical operations on websites like Khan Academy or math textbooks.