Solve Equations with Radicals on Both Sides

Solving Radical Equations

Content Standards : A.REI.2

Topic : Solving Radical Equations

• Objective: Solve equations containing radicals

Multiple Choice

Write the radical in exponential form 

$$\sqrt{x^2}$$  

• $$\left(x^2\right)^{\frac{1}{2}}$$  

• $$\left(\ x\ \right)^2$$  

• $$\left(x\right)^{\frac{1}{2}}$$  

Multiple Choice

Simplify 
$$\sqrt{\left(3\right)^2}$$   $$=\left(\left(3\right)^2\right)^{\frac{1}{2}}$$  

• 9

• 3

• $$3^{\frac{1}{2}}$$  

• $$3^2$$  

Radical and Exponential forms

Fill in the Blank

Simplify

Radical Expression

Topic : Solving Radical Equations

• Objective: Solve equations containing radicals

Real-life Model 

VELOCITY The velocity v in feet per second of a freely falling object that has fallen h feet can be represented by  v = 8  $\sqrt{h}$     . Find the distance that an object has fallen if its velocity is 96 feet per second.

Multiple Choice

$$96=8\sqrt{h}$$  

Solve the radical equations

• 12

• $$\sqrt{12}$$  

• 144

Solve:

 $12\ =\sqrt{h\ }\ ,\ \sqrt{12\ .\ 12\ }=\sqrt{144\ }=12$  

Multiple Choice

Solve :

$$\left(\sqrt{y-2}\right)^2\ =\ \left(6\right)^2$$  

• $$y-2=12\ \ \ \ \ \ \ \ \ \ \ \ \ \ y=14$$  

• $$y-2=36\ \ \ \ \ \ \ \ \ \ \ y=38$$  

• $$y-2=36\ \ \ \ \ \ \ \ \ y=34$$  

Fill in the Blank

Check

$$\sqrt{y-2\ }\ \ -1\ =\ 5\ \ \ \ \ \ y=38$$  

Multiple Choice

what do you think is the next step??

Multiple Choice

$$Check\ \sqrt{x-12\ }\ =\ 2\ \ \ \ \ \ \ \ \ \ \ \ ,\ x=16$$  

• correct 

• in correct

Multiple Choice

$$Solve\ \ \sqrt{x-3\ }\ -2\ =\ 6\$$  

• $$\ \ \ \ \ x-3=64\ \ \ \ \ \ \ x\ =67$$  

• $$\ \ x-3=16\ \ \ \ \ \ \ x\ =19$$  

• $$\ x-3=8\ \ \ \ \ \ \ \ \ x\ =11$$  

What is the objective of this lesson ??

What is the objective of this lesson ??

to solve radical equations

Poll

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