Solving Equations with Radical Exponents

Rewrite the expression using a rational exponent.

Solve the radical equation. Don't forget to check your answers!

• x = -6

• x = 3

• x = 7/3

• x = -5

Solve for x:

x^3/2 + 7 = 71

• 2

• 4

• 16

• 8

Change to rational exponent form.

Answer explanation

power over root

To undo a square root in an equation, you need to...

• multiply both sides by 2

• square both sides

• take the square root of both sides

• divide both sides by 2

• x = 9

• x = 82

• x = -9

• x = -82

• x = -5

• x = 1/5

• No Solution

• x = -1

• x = -14

• x = 14

• No Solution

• x = 28

• x = 9

• x = -9

• x = 21

• x = -21

Solve

• x= -9

• x= -2 and 3

• x= 5

• x= 0