Solving Radical Equations

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{r+4}+8=18$$  

• $$-96$$  

• $$96$$  

• $$-5$$  

• No solution.

• $$-96,\ 4$$  

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$-9+\sqrt[]{81x}=0$$  

• $$-1,\ 4$$  

• $$1,\ -1$$  

• $$1$$  

• $$-1$$  

• No Solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{x+4}=4$$  

• $$12$$  

• $$2$$  

• $$2,\ 8$$  

• $$-2$$  

• No solution

​Solve the equation. Check for extraneous solutions.

​Solve the equation. Check for extraneous solutions.

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{\frac{x}{8}}=5$$  

• -200

• 200

• 6

• 9

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$9\sqrt[]{n+9}=54$$  

• -2

• 27

• -27

• 28

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$3\sqrt[]{-3-2n}=9$$  

• 6

• -4

• -6

• 4

• No solution

​Solve the equation. Check for extraneous solutions.

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{2v-18}=\sqrt[]{v-6}$$  

• -12

• -4

• 12

• 4

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{a+9}=\sqrt[]{-3-3a}$$  

• 7

• -7

• -3

• 9

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{\frac{m}{2}}=\sqrt[]{21-m}$$  

• 3, -6

• 7

• 14

• 3

• No solution

​Solve the equation. Check for extraneous solutions.

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{56-x}=x$$  

• -7, -8

• 7, -8

• -8

• 7

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$n=\sqrt[]{6-n}$$  

• 5, -6

• 2

• -2, -3

• -2, -6

• No solution

Multiple Choice

Solve the equation. Check for extraneous solutions.

$$\sqrt[]{10m}=m$$  

• 8, 9

• 0, 10

• 8, 0

• 10

• No solution