What is the square root of a squared variable, such as $$x^2$$ ?

The square root of $$x^2$$ is $$|x|$$ , which represents the absolute value of x.

Simplify $$\frac{\text{sqrt}{72x^3}}{5x\text{sqrt}{2x}}$$ .

The simplified form is $$x\text{sqrt}{2x}$$ .

What is the result of $$\text{sqrt}{12x^4y^7}$$ ?

The result is $$2x^2y^3\text{sqrt}{3y}$$ .

Identify a rational number from the following: $$\frac{407}{528}, \text{sqrt[3]{-8}}, 0.\text{overline{34}}, 1.626626662...$$ .

The number $$1.626626662...$$ is NOT a rational number.

How do you simplify $$\text{sqrt}{6}\text{(}\frac{\text{sqrt}{2}}{2}+\text{sqrt}{3}\text{)} - \text{sqrt}{8}$$ ?

The simplified form is $$\text{sqrt}{3} + \text{sqrt}{2}$$ .

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as $$|x|$$ .

Explain the concept of rational numbers.

Rational numbers are numbers that can be expressed as the quotient or fraction $$\frac{p}{q}$$ , where $$p$$ and $$q$$ are integers and @@q eq 0@@.

What is the significance of simplifying radicals?

Simplifying radicals makes expressions easier to work with and understand, allowing for clearer calculations and comparisons.

What is the result of $$\text{sqrt}{72x^3} - 5x\text{sqrt}{2x}$$ ?

The result is $$x\text{sqrt}{2x}$$ .

Define a perfect square.

A perfect square is an integer that is the square of another integer, such as $$1, 4, 9, 16$$ .

What does it mean for a number to be non-terminating?

A non-terminating number is a decimal that goes on forever without repeating, characteristic of irrational numbers.

How do you determine if a number is rational or irrational?

A number is rational if it can be expressed as a fraction of two integers; it is irrational if it cannot.

What is the square root of a negative number?

The square root of a negative number is an imaginary number, expressed as $$i\text{sqrt}{|x|}$$ , where $$x$$ is a positive real number.

Irrational and Complex Numbers A2 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Define an irrational number.

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a complex number?

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

6 questions

PROBABILITY DISTRIBUTION

Flashcard

•

11th Grade

14 questions

Deviance

Flashcard

•

11th Grade

12 questions

E4 Final Exam: Biographies and Autobiographies (Smith)

Flashcard

•

12th Grade

12 questions

Biologi Tingkatan 5 Bab 3

Flashcard

•

12th Grade

9 questions

Tuesdays with Morrie

Flashcard

•

12th Grade

11 questions

Mostly Irrelevant Presidential Trivia

Flashcard

•

9th - 12th Grade

10 questions

Algebra

Flashcard

•

12th Grade

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

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

24 questions

Identify Properties of Polygons and Quadrilaterals

Quiz

•

9th - 12th Grade

25 questions

Simplify Expressions with Exponents

Quiz

•

9th - 12th Grade

20 questions

Basic Trig Ratios

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

16 questions

Identify and Analyze Geometric Sequences

Quiz

•

9th - 12th Grade