Solving Radical Equations

​Solving Radical Equations.

​When Solving Radical Equations, follow these steps.

​

​1. Get the radical by itself on one side of the equation.

​

​2. Raise both sides of the equation to the power of the index.

​

​3. Solve.

​

​* Always check your answers.

Completed Problem

Completed Problem

Completed Problem

Remember to check your Solution!

Multiple Choice

Solve.

$$^4\sqrt{27-2d}=^4\sqrt{d-3}$$  

• $$d=3$$  

• $$d=10$$  

• $$d=30$$  

• No Solution

Multiple Choice

Solve.

$$4\sqrt{3q+15}=12\sqrt{q}$$  

• $$q=15$$  

• $$q=\frac{5}{2}$$  

• $$q=6$$  

• No Solution

Multiple Choice

Solve.

$$\sqrt{12-a}+7a=8a$$  

• $$a=3$$  

• $$a=3,\ a=-4$$  

• $$a=-3,\ a=4$$  

• No Solution

Multiple Choice

Solve.

$$\sqrt{51-5y}=y-11$$  

• $$y=10,\ y=7$$  

• $$y=10$$  

• $$y=7$$  

• No solution

Multiple Choice

Solve the equation:  $$\sqrt[3]{x}-9=-6$$  

• 27

• 225

• 3375

• 45

Multiple Choice

Solve the equation: $$\sqrt[]{x+25}=\ 2$$  

• 5

• -5

• 23

• -21

Multiple Choice

Solve the equation:  $$2\ \sqrt[\ 3\ ]{x-3}=\ 4$$  

• 6

• 11

• 8

• 12