Simplify: $$\text{√}12$$

$$2\text{√}3$$ because $$12 = 4 \times 3 = 2^2 \times 3$$ .

Simplify: $$3\text{√}125$$

$$15\text{√}5$$ because $$125 = 25 \times 5 = 5^2 \times 5$$ .

What is the simplified form of $$\text{√}28$$ ?

$$2\text{√}7$$ because $$28 = 4 \times 7 = 2^2 \times 7$$ .

What does it mean to rationalize the denominator?

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.

Simplify: $$\text{√}(50)$$

$$5\text{√}2$$ because $$50 = 25 \times 2 = 5^2 \times 2$$ .

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

$$|x|$$ , which represents the absolute value of x.

How do you combine like radicals?

Like radicals can be combined by adding or subtracting their coefficients, similar to combining like terms in algebra.

Simplify: $$\text{√}(18)$$

$$3\text{√}2$$ because $$18 = 9 \times 2 = 3^2 \times 2$$ .

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

$$2\text{√}2$$ because $$8 = 4 \times 2 = 2^2 \times 2$$ .

What is the importance of simplifying radicals?

Simplifying radicals makes expressions easier to work with and understand, especially in solving equations and performing calculations.

Simplifying Radicals Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors and look for pairs of factors. Each pair can be taken out of the root as a single factor.

3.

FLASHCARD QUESTION

Front

What is the square root of 16?

Back

4

Tags

CCSS.8.EE.A.2

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

Tags

CCSS.HSN.RN.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

7 questions

Safety Gear and Exercise Tips

Flashcard

•

10th Grade

11 questions

Geometry Module 2 Vocabulary

Flashcard

•

9th - 10th Grade

15 questions

Linear Relationships

Flashcard

•

9th - 12th Grade

10 questions

Basic Concepts of Probability

Flashcard

•

8th Grade

12 questions

maps writing

Flashcard

•

10th Grade

10 questions

Avaliação 8º ANO

Flashcard

•

8th Grade

10 questions

Narrative Text

Flashcard

•

11th Grade

11 questions

Daily Activities and Time Expressions

Flashcard

•

9th 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

$fractions$

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

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

10 questions

Simplifying Expressions by Combining Like Terms

Interactive video

•

6th - 10th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade