Algebra 2 Review of Radicals

Simplifying Radicals

100

sqrt(64n^6w^4

What is 

8n^3w^2

200

sqrt(9m^4

What is 

3m^2

300

sqrt(49x^12

What is 

7x^6

400

sqrt(36y^8

What is 

6y^4

500

sqrt(144d^2

What is 

12d

Adding Radicals

100

sqrt(5) + sqrt (20)

What is 

3sqrt(5)

200

sqrt(27)+sqrt(147)

What is 

10sqrt(3)

300

2sqrt(6)+3sqrt(6)

What is 

5sqrt(6)

400

sqrt(40)+3sqrt(1960)

What is 

44sqrt10

500

sqrt(180)+sqrt(45)

What is 

9sqrt(5)

Subtracting Radicals

100

sqrt98-sqrt18

What is 

4sqrt2

200

sqrt117-sqrt52

What is 

sqrt13

300

sqrt175-sqrt252

What is 

-sqrt7

400

7sqrt6-9sqrt6

What is 

-2sqrt6

500

4sqrt96-sqrt96

What is 

12sqrt6

Multiplying Radicals

100

7(5+sqrt3)

What is 

35+7sqrt(3)

200

3(9+sqrt(5))

What is 

27+3sqrt5

300

(5-sqrt3)(5+sqrt3)

What is 

22

400

(2+3sqrt7)(7+sqrt7)

What is 

35+23sqrt7

500

2sqrt3(sqrt15+sqrt60)

What is 

18sqrt5

Solving Radicals

100

sqrt(2x)=sqrt(x-4)

What is 

x=-4

200

sqrtb+4=sqrt36+1

What is 

b=9

300

sqrt(3x-5)= sqrt(x/2)

What is 

x=2

400

sqrt(x-2)+1=5

What is 

x=18

500

sqrt(16x)=x

What is 

x=0 , n=16