Add or subtract, as indicated. See Example 6.√6 + √6

Verified step by step guidance

1. Identify the terms that need to be added: \( \sqrt{6} \) and \( \sqrt{6} \).
2. Recognize that these terms are like terms because they have the same radical part.
3. Add the coefficients of the like terms: 1 (coefficient of \( \sqrt{6} \)) + 1 (coefficient of \( \sqrt{6} \)).
4. Combine the coefficients to get the new coefficient for \( \sqrt{6} \).
5. Express the result as the new coefficient multiplied by \( \sqrt{6} \).

Key Concepts

Radical Expressions

Radical expressions involve roots, such as square roots, cube roots, etc. In this case, √6 represents the square root of 6. Understanding how to manipulate these expressions is crucial for performing operations like addition or subtraction.

Like Terms

In algebra, like terms are terms that have the same variable raised to the same power. When adding or subtracting radical expressions, it is essential to identify like terms, which allows for simplification. For example, √6 and √6 are like terms and can be combined.

Combining Radicals

Combining radicals involves adding or subtracting radical expressions that are like terms. When you have √6 + √6, you can combine them to get 2√6. This process is similar to combining coefficients in algebraic expressions.