A radical is a symbol that represents the root of a number, most commonly the square root. For example, $$\text{√}x$$ represents the square root of x.

What is the simplest radical form of $$\text{√}30$$ ?

$$\text{√}30$$ (it cannot be simplified further).

How do you simplify $$\text{√}300$$ ?

$$\text{√}300 = \text{√}(100 \times 3) = \text{√}100 \times \text{√}3 = 10\text{√}3$$ .

What is the simplified form of $$\text{√}216$$ ?

$$\text{√}216 = \text{√}(36 \times 6) = \text{√}36 \times \text{√}6 = 6\text{√}6$$ .

What is the simplified form of $$\text{√}24$$ ?

$$\text{√}24 = \text{√}(4 \times 6) = \text{√}4 \times \text{√}6 = 2\text{√}6$$ .

What is a perfect square?

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

How do you identify perfect square factors of a number?

To identify perfect square factors, list the factors of the number and check which of them are perfect squares.

What is the relationship between radicals and exponents?

Radicals can be expressed using exponents: $$\text{√}x = x^{1/2}$$ .

What is the simplified form of $$\text{√}50$$ ?

$$\text{√}50 = \text{√}(25 \times 2) = \text{√}25 \times \text{√}2 = 5\text{√}2$$ .

What is the simplified form of $$\text{√}72$$ ?

$$\text{√}72 = \text{√}(36 \times 2) = \text{√}36 \times \text{√}2 = 6\text{√}2$$ .

What is the simplified form of $$\text{√}18$$ ?

$$\text{√}18 = \text{√}(9 \times 2) = \text{√}9 \times \text{√}2 = 3\text{√}2$$ .

What is the simplified form of $$\text{√}8$$ ?

$$\text{√}8 = \text{√}(4 \times 2) = \text{√}4 \times \text{√}2 = 2\text{√}2$$ .

What is the simplified form of $$\text{√}12$$ ?

$$\text{√}12 = \text{√}(4 \times 3) = \text{√}4 \times \text{√}3 = 2\text{√}3$$ .

Simplifying Radicals Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a radical?

Back

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 square factors from under the radical sign.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

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

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

14 questions

Identifying Types of Phrases

Flashcard

•

7th - 12th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

20 questions

Systems of Equations - Substitution

Quiz

•

9th Grade