Solving Radical Equations with Roots

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 = 9

• x = -9

• x = 21

• x = -21

Solve

• x= -9

• x= -2 and 3

• x= 5

• x= 0

Solve for x; identify extraneous solutions (if any).

• x = 17

• x = 5

• x = 3

• no solution; x = 5 is extraneous

solve for x:

Mathematical Equivalence

ON

Solve the radical equation

• 25

• 50

• 125

• 5

Solve. Don't forget to check your answers!

• 6

• 9

• -6

• -9

Change to rational exponent form.

Answer explanation

power over root

• x = -5

• x = 1/5

• No Solution

• x = -1