Solving Radical Equations with Extraneous Solutions

Solve each radical equation. Check for extraneous solutions. 6 + (√3z + 1) = 11

• z = No Solution

• z = 8

• z = 2

• z = 15

Solve the radical equation. Hint: You will have to foil once(and there will be a radical middle term) and raise to the 2nd power twice! (√x - 3) = (√x + 4) - 1

• x = 10

• x = -12

• x = 12

• x = No Solution

Solve the radical equation. Check for extraneous solutions.

2 + (√3y - 5) = 10

• y = 23

• y = 25

• y = 20

• y = No Solution

Solve the rational exponent equation. Check for extraneous solutions.

(5p - 7)^1/3 + 3 = 5

• p = 2

• p = 1

• p = 3

• p = 6

Solve the radical equation. Check for extraneous solutions.

1/4 (32b)^1/3 = 1

• b = 2

• b = No Solution

• b = 3

• b = 4

Solve the rational exponent equation. Check for extraneous solutions.

(4z - 1)^1/5 - 1 = 2

• z = 60

• z = 50

• z = 61

• z = No Solution

Solve the rational exponent equation. Check for extraneous solutions.

2(x - 10)^1/3 + 4 = 0

• x = 2

• x = -2

• x = 1

• x = No Solution

Solve the radical equation. Check for extraneous solutions.

• x = 25

• x = 23

• x = 20

• x = No Solution

Solve the radical equation. Check for extraneous solutions.

(∛4n - 8) - 4 = 0

• n = 18

• n = 20

• n = 24

• n = No Solution

Solve the radical equation. Check for extraneous solutions.

(∜y + 2) + 9 = 14

• y = 625

• y = 623

• y = 627

• y = No Solution