Simplifying Radicals

Random Trivia

100

What is the 6th planet from the sun?

Saturn

200

What is the name of the tiger pet that Jasmine owns?

Rajah

300

What is the only food that can never go bad?

Honey

400

What is the only sport that has been played on the moon?

Golf

500

1. The oldest person ever recorded lived to be what age?

2. When did WWI end?

3. When is Ms. Ghitea's bday?

1. 122

2. 1918

3. July 5th

Simplifyingwithout Variables

100

Simplify √12

2√3

200

Simplify √54

6√6

300

Simplify -3√28

-6√7

400

Simplify 3√125

15√5

500

Simplify: 4√200

40√2

Simplifying Variables

100

Simplify √x⁴

x²

200

Simplify √x⁹

x⁴√x

300

Simplify √y¹⁵

y⁷√y

400

Simplify x√x¹⁰

x⁶

500

Simplify y²√y⁷

y⁵√y

Mixed Problems

100

Simplify √4x²y²

2xy

200

Simplify √9x⁴y⁵ 

3x²y²√y

300

Simplify 2x√10x³y¹⁰

2x³y⁵√10x

400

Simplify √24x⁶y⁴

2x³y²√6

500

Simplify 4y√40x⁵y⁵

 8x²y³√10xy

Adding/Subtracting

100

In order to add radicals, what needs to be the same?

the number under the radical

200

Add the following radicals:

 4√3 + 2√3 + 7√3.

13√3

300

Subtract the following radicals: 

6√10 - √10 

5√10

400

Add the following radicals: 

√40 + √90.

6√10

500

Add the following radicals:

-8√90 + 7√10

-17√10