Simplify. 2 √(2)+√(2)

Name: Problem 7, Chapter 15: Prealgebra and Introductory Algebra
Uploaded: 2020-06-22T15:45:13-08:00
Duration: 13 s
Channel: Matt Gibson
Description: Simplify. 2 √(2)+√(2)

step 1 To simplify this, I need to realize I have a one in front of this. I do have like radacans. So I

Question

Simplify. $$2 \sqrt{2}+\sqrt{2}$$

   Simplify.
$$2 \sqrt{2}+\sqrt{2}$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 15, Problem 7

Instant Answer

Solved by Expert Matt Gibson

06/22/2020

Step 1

In this case, the like terms are the radicals. We can rewrite the expression as: $$2 \sqrt{2}+1\sqrt{2}$$ Show more…

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Simplify. $$2 \sqrt{2}+\sqrt{2}$$

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Key Concepts

Radical Expressions

Radical expressions involve roots, such as square roots, which come with a coefficient and a radical part. Understanding how to manipulate these expressions is essential for accurate simplification.

Like Terms

Like terms are terms that share the same variable or radical component. In the context of radical expressions, only terms with identical radicands and indices can be directly combined by adding or subtracting their coefficients.

Algebraic Simplification

Algebraic simplification involves reducing expressions to their simplest form by combining like terms and applying arithmetic operations. This process enhances clarity and prepares expressions for further manipulation or solution.

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