Simplify. 5 √(3)-4 √(3)

Name: Problem 74, Chapter 11: Algebra 2
Uploaded: 2020-03-19T21:15:28-08:00
Duration: 56 s
Channel: Sage Copling
Description: Simplify. 5 √(3)-4 √(3)

step 1 So this question, 5 root 3 minus 4 root 3, is perhaps the simplest question that comes out of an

Question

Simplify. $$ 5 \sqrt{3}-4 \sqrt{3} $$

   Simplify.
$$
5 \sqrt{3}-4 \sqrt{3}
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 11, Problem 74

Instant Answer

Solved by Expert Sage Copling

03/19/2020

Step 1

In this case, $5 \sqrt{3}$ and $4 \sqrt{3}$ are like terms because they both have $\sqrt{3}$. Show more…

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Simplify. $$ 5 \sqrt{3}-4 \sqrt{3} $$

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Key Concepts

Radical Expressions

Radical expressions are mathematical expressions that include a root symbol, such as a square root, cube root, etc. These expressions follow specific properties that allow the representation of the radical in a simplified or factored form, especially when the radicand (the number under the radical sign) is a product of factors that may include perfect squares or cubes.

Combining Like Terms

Combining like terms is a fundamental concept in algebra where terms that have the same variable or identical radical parts can be added or subtracted by combining their coefficients. In the context of radical expressions, when two or more terms share the same radical component, their coefficients can be directly combined to simplify the expression into a single term.

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