Operations on Radicals

Simplifying Radicals

100

√32

What is 4√2?

200

sqrt(27)

What is 

3sqrt3

300

-5sqrt(192)

What is 

-40sqrt3

400

sqrt(50x^3)

What is

5xsqrt(2x)

500

sqrt(120w^8x^4y^7)

What is 

2w^4x^2y^3sqrt(30y)

Multiplying Radicals

100

sqrt(22)*sqrt(8)

What is 4√11

200

sqrt(15)*sqrt(6)

What is 3√10

300

sqrt(15)*sqrt(35)

What is 5√21

400

sqrt(7)*sqrt(9)

What is 3√7

500

sqrt(8x^3)*sqrt(27x^3)

What is 6x³√6

Dividing Radicals

100

sqrt(17/144)

What is 

sqrt(17)/12

200

sqrt(96)/sqrt(12)

What is 2√2

300

sqrt(12)/sqrt(64)

sqrt(3)/4

400

sqrt(65)/sqrt(13)

What is √5

500

sqrt(30)/sqrt(96)

What is 

sqrt(5)/4

Review

100

7x^-2

What is 

7/x²

200

(8x⁵)²

What is 

64x¹⁰

300

Write 56,000,000 in scientific notation

What is 

5.6 x 10⁷

400

(6 x 10³)(2 x 10²)

What is 

1.2 x 10⁶

500

3w⁰

What is

2/3x

Adding and Subtracting Radicals

100

2sqrt(2)+2sqrt(2)

What is 

4sqrt(2)

200

6sqrt(5)-8sqrt(5)

What is 

-2sqrt(5)

300

2sqrt(3)+sqrt(75)

What is 

7sqrt(3)

400

sqrt(32)-sqrt(8)

2sqrt(2)

500

-sqrt(98)+2sqrt(50)

3sqrt(2)