radicals

​Addition & Subtraction of Radicals

By Rodrigo Rulloda

Learning Objectives:

At the end of the session, I should be able to:

a. simply radical expressions; b. identifies similar and dissimilar radicals c. apply addition and subtraction is simplifying radical expressions;

REVIEW TIME!

Multiple Choice

Which of the following RADICALS is not simplified?  

• $$\sqrt[]{2}$$

• $$\sqrt[]{20}$$

• $$\sqrt[]{3}$$

Multiple Choice

Which of the following RADICALS is simplified? 

• $$\sqrt[]{15}$$

• $$\sqrt[]{20}$$

• $$\sqrt[]{25}$$

Multiple Choice

Which of the following is a PERFECT SQUARE NUMBER? 

• $$20$$

• $$121$$

• $$99$$

Multiple Choice

Which of the following is a PERFECT CUBE NUMBER? 

• $$36$$

• $$9$$

• $$27$$

SIMILAR AND DISSIMILAR RADICALS

Word Cloud

What are words synonymous to the word "SIMILAR"?

Word Cloud

What are words synonymous to the word "DISSIMILAR"?

SIMILAR AND DISSIMILAR RADICALS

​Similar radicals – radicals whose indices and radicands are the same

Dissimilar radicals – radicals whose indices and/or radicands are not the same

Multiple Select

Which of the following are SIMILAR RADICALS?

• $$\sqrt[]{2}\ \&\ 3\sqrt[]{2}$$

• $$\sqrt[]{5}\ \&\ \sqrt[3]{5}$$

• $$\sqrt[]{2}\ \&\ \sqrt[]{8}$$

• $$\sqrt[]{3}\ \&\ \sqrt[]{7}$$

Draw

Please draw a happy face if you understood the lesson, sad if not. Feel free to express your emotion.

Application

Drag and Drop

To add or subtract radicals, ​ ​

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​ first those which​ are not

in simplest form, then ​ ​

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​ radicals which are​

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​

and indicate as addition or subtraction those radicals which

are​ ​

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.

Drag these tiles and drop them in the correct blank above

simplify

combine

similar

dissimilar

Choose 2 problems to answer.

Evaluation Time

Apply addition and subtraction to simplify the following radical expressions.