Radicals

Simplifying Radicals

100

2sqrt(121)

22

200

4sqrt(2)

4sqrt(2)

300

root(3)(40

2root(3)5

400

-3root(3)(189)

-9root(3)(7)

500

4sqrt(384)

32sqrt(6)

Simplifying Radicals with Variables

100

sqrt(x^2)

x

200

root(3)(p^7)

p^2root(3)(p)

300

sqrt(27n^3)

3nsqrt(3n)

400

-5sqrt(128p^5q^3z^7

-40p^2qz^3sqrt(2pqz)

500

root(3)(192r^8s^2t^18)

4r^2t^6root(3)(3r^2s^2)

Adding and Subtracting

100

sqrt(2)+sqrt(2)

2sqrt(2)

200

10sqrt(7)-2sqrt(63)

4sqrt(7)

300

-5sqrt(243)-3sqrt(27)

-54sqrt(3)

400

3sqrt(54)+3sqrt(3)-2sqrt(384)

-7sqrt(6)+3sqrt(3)

500

-3sqrt(28)+8sqrt(3)-sqrt(300)+7sqrt(112)

22sqrt(7)-2sqrt(3)

Multiplying Radicals

100

sqrt8cdot-3sqrt(2)

-12

200

-5sqrt(20x)cdot3sqrt(15x)

-150xsqrt(3)

300

sqrt(6)(3+sqrt8)

3sqrt(6)+4sqrt(3)

400

(6sqrt(3)-2)(5sqrt(3)-4)

-34sqrt(3)+98

500

(3+sqrt(7))^2

6sqrt(7)+16

Dividing Radicals

100

sqrt(125/289

5/7

200

sqrt(11/361

sqrt(11)/19

300

(10sqrt(48))/(2sqrt(3)

20

400

(4sqrt(28))/(8sqrt(12))

sqrt(21)/6

500

(4sqrt(5))/(3sqrt(12))

(2sqrt(15))/9