Simplifying Radicals
Simplifying radicals with variables
Adding and Subtracting Radicals
Multiplying Radicals
Rationalizing the Denominator
1

Simplify the following radical: 

√ 54.

3√ 6

1

Simplify the following radical:

sqrt(x^2

x

1

Add the following radicals: 6√3 - 8√3 + 2√3.

0

1

Multiply the following radicals:

(3√4) (3√24)

36√6

1

What is Mr. Kneers favorite class to teach?

Math 2

2

Simplify the following radical: 

√ 18.

3√ 2

2

Simplify the following radical:

sqrt(x^5)

x^2sqrt(x)

2

Add the following radicals: 4√3 + 2√3 + 7√3.

13√3

2

What sports team does Mr. Kneer cheer for the most?

Carolina Panthers

2

Rationalize the denominator: 

√7 / √3.

√21 / 3

3

Simplify the following radical: 

2√ 24.

4√ 6

3

Simplify the following radical:

sqrt(x^3y^4

xy^2sqrtx

3

What sport did Mr. Kneer play at Highschool

Cross Country

3

Multiply the following radicals: 

(√10)(3√20)

150√2

3

Rationalize the denominator:

√5 / √20.

1/ 2

4

Simplify the following radical: 

3√ 63.

9√ 7

4

What animal does Mr. Kneer have at home? (Double points for the name)

Dog (Oreo)

4

Add the following radicals: √8 + √98 + √72.

15√2

4

Multiply the following radicals: 

(-3√28)(√3)

-6√21

4

Rationalize the denominator:  

7/√6.

7√6 / 6

5

Where did Mr. Kneer go to college?

ECU

5

Simplify the following radical:

5sqrt(8x^9)

10x^4sqrt(2x)

5

Add/Subtract the following radicals: 

7√18 + 2√25 - 3√72.

10 + 3√2

5

Multiply the following radicals: 

4√6(2√27-√18)

72√2-24√3

5

Rationalize the denominator: 

5√2 /√8.

2.5