Solving Square Root Equations

Solving Square Root Equations

By Krystal Hill

​Solving Radical Equations.

​When Solving Radical Equations, follow these steps.

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

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

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​3. Solve.

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​* Always check your answers.

Multiple Choice

What is the first step?

• Square both sides

• Add 6 to both sides

• Subtract 6 to both sides

• Square Root both sides

Multiple Choice

What is the next step?

• Square both sides

• Square root both sides

• Add 6 to both sides

• Subtract 6 to both sides

Multiple Choice

What is the next step?

• Subtract 6 to both sides

• Add 6 to both sides

• Divide both sides by -15

• Square both sides

Multiple Choice

Solve the problem the rest of the way.

• x = -5

• x = 5

• x = 10

• x = 25

​To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

• Add 2 to both sides

• Subtract 2 to both sides

• Square root both sides

• Square both sides

Multiple Choice

Solve the problem the rest of the way.

• x = 102

• x = 12

• x = 98

• x = 7

​To check, plug in your answer and see if it works!

Open Ended

What is the first step?

Multiple Choice

Solve the problem the rest of the way.

• v = 1

• v = 14

• v = 28

• v = 7

​To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

$$\sqrt{8x}=x$$  

• Square both sides 

•  

  Add x to both sides

•  Square root both sides

• Divide both sides by 8

Multiple Choice

Because of the power (highlighted in blue) we have a quadratic. This means we have to factor. In order to do so, the equation must be equal to what?

 

• 0 

• 1 

•  It doesn't matter

Multiple Choice

Solve the rest of the way.

• x = 0

• x = 8

• x = -8, 0

• x = 8, 0

​To check, plug in your answer and see if it works!

Multiple Choice

What is the first step?

$$\sqrt{12-a}+7a=8a$$  

•  Add 7a to both sides

• Subtract 7a to both sides 

• Square root both sides 

• Square both sides

Multiple Choice

What is the next step?  

• Square both sides 

• Square root both sides 

• Add 12 to both sides

• Subtract 12 to both sides

Multiple Choice

Solve the problem the rest of the way.

• a = 0 

• a = 3

• a = 3, -4

• a = -4, 0

​To check, plug in your answer and see if it works!

Poll

How confident do you feel about solving these types of equations?

• 1

• 2

• 3

• 4

• 5