Question

Simplify the expression. $$ 3 \sqrt{7}-2 \sqrt{7} $$

   Simplify the expression.
$$
3 \sqrt{7}-2 \sqrt{7}
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 12, Problem 4

Instant Answer

Solved by Expert Heather Zimmers

04/18/2020

Step 1

Here, $3 \sqrt{7}$ and $2 \sqrt{7}$ are like terms because they both contain $\sqrt{7}$. Show more…

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Simplify the expression. $$ 3 \sqrt{7}-2 \sqrt{7} $$

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Key Concepts

Radical Expressions

Radical expressions involve roots, such as square roots, and are subject to the same algebraic operations as other expressions. The key idea is that the radical sign acts on the number beneath it, and when two terms share the same radical part, they can be combined by operating on their coefficients.

Like Terms

Like terms are terms that have exactly the same variable or radical portion. For radical expressions, when two terms have the same radicand (the number under the radical sign) and index (the type of root), they are considered like terms. This allows the addition or subtraction of their coefficients directly.

Algebraic Simplification

Algebraic simplification is the process of reducing expressions to their simplest form. It involves combining like terms, performing arithmetic operations appropriately, and ensuring that the expression is presented in a clear and concise manner. In the context of radical expressions, simplification typically involves combining the coefficients of like radical terms.

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