Radical Functions

Nth Root

100

1^7/8

1

200

4^5/2

32

300

9^-1/2

1/3

400

81^3/4

27

500

256^5/8

32

Solving equations

100

x ^1/2 = 3

x=9

200

(x-3)^1/2=4

x=19

300

3(2x)^1/3 = 6

x=4

400

4-5(x)^1/2=-16

x=2

500

sqrt(x+4) - x = 4

x=-4 x=-3

Simplifying Radicals

100

(16x⁴)^1/2

4x²

200

(8x⁹)^1/3

2x²

300

(16x⁸)^1/2

4x⁴

400

(12x²y³)^1/2

2xy(3y)^1/2

500

(x¹⁵/y⁶)^1/3

x³/y²

Radical Algebra

100

4(3x)^1/2 + 5(3x)^1/2

9(3x)^1/2

200

(x)^1/2 -(4x)^1/2

-(x)^1/2

300

(16x²y⁴/64x⁴y⁴)^1/2

1/2x

400

(6x)^1/4 *(3x²)^1/4

(18x³)^1/4

500

(x⁴y)^1/2+ (xy^1/4)²

2x²y^1/2

Simplest Form

100

1/(7)^1/2

(7)^1/2/7

200

x³y⁴z⁶ / zx²y⁷

xz⁵/y³

300

p²/p^-5

p⁷

400

-(16²/4²)^1/2

-4

500

2/1-(2)^1/2

2+2(2)^1/2  / -1