Solving Nth Root Equations

Find all real nth roots of a: n = 6, a = −729

• 3

• -3

• ±3

• no real roots

Find all real nth roots of a: n = 5 , a = -243

• 3

• -3

• ±3

• no real roots

∛8 =

• 4

• 3

• 2

• 512

∛729

• 9

• 243

• 81

• 11

Mathematical Equivalence

ON

• A

• B

• C

• D

• A

• B

• C

• D

In order to get rid of the nth root, you need to ...

• multiply both sides of the equations by n

• divide both sides of the equation by n

• bring both sides of the equation to the power of n

• nth root both sides of the equation

Solve the cube root equation

• -984

• 984

• 26

• -26

Solve the cube root equation

• 78

• -228

• 228

• -78