An nth root of a number 'a' is a number 'b' such that $$b^n = a$$ . It is denoted as $$\sqrt[n]{a}$$ .

What is the value of $$\sqrt[3]{-125}$$ ?

The value is -5, since $$(-5)^3 = -125$$ .

What is the value of $$\sqrt[6]{64}$$ ?

The value is 2, since $$2^6 = 64$$ .

What does the symbol $$\pm$$ represent in mathematics?

The symbol $$\pm$$ indicates that there are two possible values: one positive and one negative.

What is the value of $$\sqrt[2]{400}$$ ?

The value is $$\pm 20$$ , since both 20 and -20 squared give 400.

How do you simplify $$a^{\frac{1}{n}}$$ ?

$$a^{\frac{1}{n}}$$ simplifies to $$\sqrt[n]{a}$$ .

What is the value of $$\sqrt[4]{16}$$ ?

The value is 2, since $$2^4 = 16$$ .

What is the general formula for finding the nth root of a number?

The nth root of a number 'a' is given by $$\sqrt[n]{a}$$ .

What is the value of $$\sqrt[3]{27}$$ ?

The value is 3, since $$3^3 = 27$$ .

What is the value of $$\sqrt[2]{25}$$ ?

The value is $$\pm 5$$ , since both 5 and -5 squared give 25.

How do you express the cube root of a number using exponents?

The cube root of a number 'a' can be expressed as $$a^{\frac{1}{3}}$$ .

What is the value of $$\sqrt[5]{32}$$ ?

The value is 2, since $$2^5 = 32$$ .

What is the value of $$\sqrt[2]{81}$$ ?

The value is $$\pm 9$$ , since both 9 and -9 squared give 81.

What is the significance of the index in a root?

The index indicates the degree of the root; for example, a square root has an index of 2, and a cube root has an index of 3.

nth Roots and Rational Exponents Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an nth root?

Back

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

3.

FLASHCARD QUESTION

Front

What is the relationship between rational exponents and roots?

Back

Tags

CCSS.HSN.RN.A.2

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

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

11 questions

Review A2

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

13 questions

SMS Cafeteria Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

SMS Restroom Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

Discover more resources for Mathematics

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

15 questions

Pi Day Trivia!

Quiz

•

9th Grade

15 questions

Pi Day Trivia

Quiz

•

9th - 12th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

15 questions

Algebra 1 EOC Review #1

Quiz

•

9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

15 questions

Pi Day Trivia

Quiz

•

10th Grade