Operations on Radicals

Multiplying Radicals

100

sqrt(11)*sqrt(3)

√33

200

sqrt(10)*sqrt(5)

5√2

300

sqrt(2)*root(3)(2)

6thrt of 32

400

sqrt(a)*(sqrt(4a)+ sqrt(25b))

2a + 5√ab

500

(sqrt(5)+ sqrt(6))*(sqrt(5)- sqrt(6))

-1

Dividing Radicals

100

sqrt(100/25)

What is 

sqrt(17)/12

200

sqrt(11)/sqrt(36b^2)

√11 / 6b

300

sqrt(12x)/sqrt(64)

sqrt(3x)/4

400

root(3)(7)/root(3)(2)

cbrt√28 / 2

500

11/(sqrt(5)+ sqrt(3))

What is 

(11sqrt(5)-11sqrt(3))/2

Rationalizing the Denominator

100

2/sqrt(6)

What is 

sqrt(6)/3

200

8/sqrt(7)

What is 

(8sqrt(7))/7

300

5/sqrt(2x)

What is 

(5sqrt(2x))/(2x)

400

3/sqrt(3y)

What is 

sqrt(3y)/y

500

sqrt((4x^3)/(9x)

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

-4sqrt(7ab)+sqrt(28ab)

-2sqrt(7ab)