Simplify Radicals Index

We must___________ all radical expressions BEFORE attempting to identify "like radicals."

• add the radicands

• simplify

• combine all coefficients

• combine the index

Simplify 3\sqrt{18}+3\sqrt{8}-\sqrt{24}

•  $-3\sqrt{2}+2\sqrt{6}$  

Simplify 
3√6 - 4√6

• -√6

• √6

• -1

• Already simplified 

We can only add or subtract radicals if they have the same ​ (a)  

• radical

• radicand

• index

• coefficient

We can only multiply or divide radicals if they have the same .

(a)  

• index

• radical

• radicand

• coefficient

Simplify the radical

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