Radical Equations and Rational Exponents

Square Root Equations

100

sqrt(x) = 10

100

200

sqrt(v-4) = 3

13

300

sqrt(5a-5)-8=-3

6

400

x=sqrt(-4+4b)

2

500

n-3=sqrt(3n-21)+4

10, 7

Cube Root Equations

100

sqrt[3](y)=7

343

200

sqrt[3](3n+2)+1=0

-1

300

3(5y-3)^(1/3)=9

6

400

sqrt[3](x+8)-6=-3

19

500

2(6x-3)^(1/3)-4=0

11/6 or 1.83333..

Higher Root Equations

100

root(4)x+2=4

16

200

root(5)x = 3

243

300

sqrt[4](x+3)-8=-9

-2

400

root(9)x+2=3

1

500

root(203)(x-2)+3=2

-1

Fractional Exp - Radical

100

x^(1/2)

sqrt(x)

200

y^(2/3)

sqrt[3](y)^2

300

(2x)^4/5

sqrt[5](2x)^4

400

17x^3/2

17*sqrt(x)^3

500

2(x+1)^4/3

2*sqrt[3](x+1)^4

Radical - Fractional Exp

100

root(6)y

y^(1/6)

200

sqrt(p)^7

p^(7/2)

300

sqrt[3](3z)^2

(3z)^2/3

400

12*sqrt[5](v)^3

12v^(3/5)

500

14*sqrt(x-12)^3

14(x-12)^3/2