How do you simplify $$\text{√}(a^2)$$ ?

$$\text{√}(a^2) = a$$ , where a is a non-negative number.

What is the process to simplify $$\text{√}(xy)$$ ?

$$\text{√}(xy) = \text{√}x \times \text{√}y$$ .

How do you simplify $$\text{√}(a^m)$$ ?

$$\text{√}(a^m) = a^{m/2}$$ , where m is a positive integer.

What is the simplified form of $$\text{√}(20)$$ ?

$$\text{√}(20) = 2\text{√}(5)$$ .

What is the simplified form of $$\text{√}(40x^2y^5)$$ ?

$$\text{√}(40x^2y^5) = 2xy^2\text{√}(10y)$$ .

What is the simplified form of $$\text{∛}(8x^6y^9)$$ ?

$$\text{∛}(8x^6y^9) = 2x^2y^3$$ .

What is the rule for simplifying radicals with variables?

For any variable a, $$\text{√}(a^n) = a^{n/2}$$ if n is even, and $$\text{∛}(a^n) = a^{n/3}$$ if n is divisible by 3.

What does it mean for a radical to be in simplest form?

A radical is in simplest form when there are no perfect squares (or cubes) under the radical sign, and no fractions are present inside the radical.

Simplifying Radicals with Variables Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect squares or cubes from under the radical sign.

3.

FLASHCARD QUESTION

Front

What is the square root of a number?

Back

Tags

CCSS.8.EE.A.2

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the cube root of a number?

Back

Tags

CCSS.8.EE.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

CSA #2 Review

Flashcard

•

6th Grade - University

15 questions

Solving One Step Equations with Addition or Subtraction

Flashcard

•

6th - 7th Grade

13 questions

Wielki Post (kuszenie Jezusa, uczynki pokutne) Ewangelia

Flashcard

•

6th Grade - University

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

11 questions

H Chem: Chemical Analysis

Flashcard

•

KG

13 questions

Báo 1

Flashcard

•

KG

11 questions

Civilizações da América e a Conquista Espanhola

Flashcard

•

7th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

22 questions

distributive property

Quiz

•

7th Grade

18 questions

Angle Relationships

Quiz

•

7th Grade

20 questions

How Some Friendships Last — and Others Don’t Video Questions

Quiz

•

7th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

18 questions

Handbook Refresher Quiz

Quiz

•

7th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

12 questions

8th U5L9 Linear Models

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade