Your student also has to be comfortable identifying ﻿perfect squares ﻿and perfect cubes,the skill required when simplifying radicals.

Remember this rule when adding, and you can't go wrong!

## So what were they thinking when they gave you a question, such as:

It can't be done!  Right? .... Wrong!  It can be done - and what they were thinking was - "let the games begin!"

And this is something your student must now get used to!  Algebra is a game.  It is simply about manipulating numbers (while ALWAYS obeying the rules) to make them do what YOU want them to do!

Follow along with this worked example to to watch the mathematical magic unfold and see how we add these two radical numbers.

No - it is all about familiarity and confidence with regards to 'seeing' the factors of the root and knowing perfect squares and cubes.

 Had we taken a little more time looking at these root, we could have noticed that: 3 and 4 are factors of 12, where 4 is a perfect square and 3 and 16 are factors of 48, where 16 is a perfect square Had we been more aware of our Perfect Squares and Factors, we could have gotten to this stage in one move!

As you can see from this worked example - the skill to adding radicals, is not the addition process, but the process of identifying perfect squares or perfect cubes, knowing how to factorize numbers and knowing the Rules of Radicals to simplify the radical to its lowest terms.

Once your child has successfully completed a number of these problems, adding and subtracting radical numbers will never again make them anxious.

If you enjoyed the information presented here on the topic of adding radicals, please continue to explore all the Basic Algebra section.

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