Question

Simplify each sum or difference. $$ \sqrt{5}+6 \sqrt{5} $$

   Simplify each sum or difference.
$$
\sqrt{5}+6 \sqrt{5}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 10, Problem 9

Instant Answer

Solved by Expert Brittany Booher

04/09/2020

Step 1

In this case, both terms are multiples of $\sqrt{5}$. Show more…

Show all steps

lock

Thanks for your feedback!

Simplify each sum or difference. $$ \sqrt{5}+6 \sqrt{5} $$

Play audio

Feedback

Powered by NumerAI

Brittany Booher and 61 other subject Geometry educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Radical Notation

Radical notation is used to represent the square root (or other roots) of a number. It expresses numbers in the form ?n, where n is the radicand. Understanding radical notation is crucial in simplifying expressions that involve roots.

Like Terms in Radicals

Like terms in radicals are terms that have the same radical part, meaning they have the same radicand and index. Just as in algebraic expressions with variables, these like radical terms can be combined by adding or subtracting their coefficients.

Addition of Radicals

The addition of radicals involves combining like terms, that is, radicals with the same radicand. When the radicands match, the coefficients of the radicals can be added together, similar to the addition of like algebraic terms. This property simplifies and consolidates expressions with radicals.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later