Radicals Lesson

Presentation

•

Mathematics

•

9th Grade

•

Hard

Joseph Anderson

FREE Resource

8 Slides • 10 Questions

Radicals

What can we do with Radicals?

Simplify
Add & Subtract
Multiply

Simplify

Make a factor tree
List the factors under the radical sign
Circle the pairs of numbers
Pairs come outside the radical sign (only once)
Multiply the remaining terms

Multiple Choice

What is the first step for simplifying radicals?

Multiply remaining terms?

Circle the pairs of numbers

Make a factor tree

Bring pairs outside the radical (only once)

List factors under the radical

Making a factor tree is the "prime factorization."

The numbers at the end of the "branches" of the factor tree are the factors.

Multiple Select

What is the prime factorization of

\sqrt{56}

2*4*7

2*2*2*7

4*7

Multiple Choice

Simplify $\sqrt{56}$

$2\sqrt{14}$

$4\sqrt{14}$

$2\sqrt{28}$

$2\sqrt{9}$

Add and Subtract

Simplify First
Combine like terms (terms with the same radicand)
ONLY outside numbers are added (radicans DO NOT change once they are simplified)

Multiple Select

What kind of terms can be added or subtracted? (Check all that apply)

Like terms

Common terms

Terms with the same radicand

Multiple Choice

Add

\sqrt{2}+3\sqrt{2}

$2\sqrt{2}$

$3\sqrt{4}$

$4\sqrt{2}$

$4\sqrt{4}$

Multiple Choice

Add

\sqrt{27}+2\sqrt{12}

$3\sqrt{3}+4\sqrt{6}$

$7\sqrt{3}$

$12\sqrt{3}$

$7\sqrt{6}$

Multiply

Multiply the outside numbers
Multiply the inside numbers
Simplify

Multiple Select

What do you do after you multiply the outside terms and the inside terms?

Simplify

Multiply

Nothing

Multiple Choice

Multiply

2\sqrt{12}\times3\sqrt{7}

*Remember to simplify*

$6\sqrt{84}$

$5\sqrt{19}$

$12\sqrt{21}$

$8\sqrt{10}$

*Be Careful*

Adding or Subtracting : SIMPLIFY FIRST
Multiplying : SIMPLIFY LAST

Multiple Select

Which of these involves simplifying? (Check all that apply)

Simplifying

Adding and Subtracting

Multiplying

Multiple Choice

When do you simplify FIRST?

Multiplying

Adding and Subtracting

Pay attention to the signs. Know when you Add, Subtract, or Multiply!

It can get tricky. Don't rush!

Radicals

Show answer

Auto Play

Slide 1 / 18

SLIDE

Similar Resources on Wayground

14 questions

Systems of Linear Equations

Presentation

•

9th Grade

14 questions

Distributions of Data

Presentation

•

9th Grade

14 questions

Exponential Growth and Decay Vocabulary

Presentation

•

9th Grade

12 questions

Completing the Square (Full process)

Presentation

•

9th Grade

15 questions

Distribution of Data

Presentation

•

9th Grade

13 questions

One Solution, No Solution, Many Solution

Presentation

•

9th Grade

13 questions

Correlation

Presentation

•

9th Grade

13 questions

Writing linear equations review

Presentation

•

9th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade