8th Grade Absolute and Radicals

Cube Roots

100

root(3)27

3

200

root(3)54

3 root(3)2

300

7root(3)16

14root(3)2

400

2root(3)(375x^3)

10xroot(3)5

500

3root(3)(128x^5y^7)

12xy^2root(3)(2x^2y)

Square Roots

100

sqrt(49)

7

200

sqrt(175)

5sqrt(7)

300

6sqrt(24)

12sqrt(6)

400

8sqrt(120x^4y^6)

16x^2y^3sqrt(30)

500

5xysqrt(52x^5y^3)

10x^3y^2sqrt(13xy)

Absolute Values

100

abs(x+4)=18

x=14,-22

200

abs(2x-6)=18

x=12,6

300

abs(x+3)-7=40

x=44,-50

400

2abs(5x+4)-8=-28

No Solution

500

2abs(5x+4)-8=28

x=2.8,-4.4

Adding and Subtracing Radicals

100

4sqrt(6)+10sqrt(6)

14sqrt(6)

200

-7sqrt(3)-sqrt(3)

-8sqrt(3)

300

-3sqrt(24)-3sqrt(2)+2sqrt(2)

-6sqrt(6)-sqrt(2)

400

-3sqrt(12)-2sqrt(27)+2sqrt(45)

-12sqrt(3)+6sqrt(5)

500

-2sqrt(27)-sqrt(54)-sqrt(54)

-6sqrt(3)-6sqrt(6)

Multiplying and Dividing Radicals

100

sqrt(10)*sqrt(2)

2sqrt(5)

200

2sqrt(8)*6sqrt(12)

48sqrt(6)

300

sqrt(45)/(sqrt(9)

sqrt(5)

400

(3sqrt(20))/(3sqrt(36))

sqrt(5)/3

500

(3sqrt(10))/(sqrt(12))

sqrt(30)/2