Radical Operations

Adding/Subtracting

100

sqrt(5)+4sqrt(5)

5sqrt(5)

200

2sqrt(18)-sqrt(8)

4sqrt(2)

300

-2sqrt20-sqrt5-3sqrt3

-5sqrt5-3sqrt3

400

3sqrt27-sqrt27-2sqrt12

2sqrt3

500

-3sqrt3-2sqrt54+2sqrt27-sqrt27

-6sqrt6

Multiplying

100

sqrt2 * sqrt10

2sqrt5

200

-5sqrt10*sqrt2

-10sqrt5

300

sqrt3(3sqrt5+sqrt2)

3sqrt15+sqrt6

400

(-1+sqrt3)(-5+sqrt3)

8-6sqrt3

500

(2sqrt3+sqrt2)^2

14+4sqrt6

Dividing

100

sqrt(9/25)

3/5

200

sqrt(8/32)

1/4

300

DOUBLE JEOPARDY (3-sqrt5)/sqrt11

(3sqrt11-sqrt55)/11

400

DOUBLE JEOPARDY  (2+sqrt5)/(2sqrt8)

(2sqrt2+sqrt10)/(8)

500

(2sqrt2+4sqrt3)/(5+sqrt5)

(5sqrt2-sqrt10+10sqrt3-2sqrt15)/10

Simplifying

100

sqrt(16m^2)

4m

200

-3sqrt(100n^6)

-30n^3

300

-2sqrt(162)

-18sqrt(2)

400

5root3(24x^8y^8

10x^2y^2root3(3x^2y^2)

500

7root4(486m^2n^8)

21n^2root4(6m^2)