Et all Radicals with Slides and Prompts

Radicals Review - Simplifying and Operating

What can we do with Radicals?

• Simplify

• Add & Subtract

• Multiply

Simplify

• USE YOUR ROOTS CHART. =)

Multiple Choice

What is the first step for simplifying radicals? As Demi kindly reminded us in the Quizizz he made... When simplifying a radical, the Roots Chart is in descending order because you must find the ________ perfect square or cube factor aka number that can divide the value of the radical.

• least

• even

• greatest

• odd

• equal to zero

Multiple Choice

Simplify $$\sqrt{56}$$  

• $$2\sqrt{14}$$  

• $$4\sqrt{14}$$  

• $$2\sqrt{28}$$  

• $$2\sqrt{9}$$  

Add and Subtract

• Simplify each Radical First to see if you have like radicals

• Combine like terms aka radicals (terms with the same radicand and index)

• ONLY coefficients (aka the #s outside the like radicals aka multipliers of like radicals) are added/subtracted when you combine like radicals. Like Radicands DO NOT change when they are added or subtracted.

Multiple Select

What kind of terms can be added or subtracted? (Check all that apply)

• Like terms/radicals

• Any terms no matter what.

• Terms with the same radicand and index

Multiple Choice

Add

$$\sqrt{2}+3\sqrt{2}$$  

• $$2\sqrt{2}$$  

• $$3\sqrt{4}$$  

• $$4\sqrt{2}$$  

• $$4\sqrt{4}$$  

Multiple Choice

Add

$$\sqrt{27}+2\sqrt{12}$$  

• $$3\sqrt{3}+4\sqrt{6}$$  

• $$7\sqrt{3}$$  

• $$12\sqrt{3}$$  

• $$7\sqrt{6}$$  

Multiply

• Multiply the outside numbers aka OUT * OUT

• Multiply the inside numbers aka IN * IN

• Simplify

Multiple Select

What do you do after you multiply the outside terms and the inside terms?

• Simplify

• Multiply

• Nothing

Multiple Choice

Multiply

$$2\sqrt{12}\cdot\ 3\sqrt{7}$$  *Remember to simplify*

• $$6\sqrt{84}$$  

• $$5\sqrt{19}$$  

• $$12\sqrt{21}$$  

• $$8\sqrt{10}$$  

*Be Careful*

• Adding or Subtracting : SIMPLIFY FIRST

• Multiplying : SIMPLIFY LAST

• 
  

Multiple Select

Which of these do you must know about simplifying radicals and radical operations? (Check all that apply)

• Simplifying

• Adding and Subtracting

• Multiplying

Multiple Choice

When must you simplify FIRST?

• Multiplying

• Adding and Subtracting

Pay attention to the signs. Know when you Add, Subtract, or Multiply!

It can get tricky. Don't rush!