Simplifying radicals numbers
Perfect squares
Steps to simplifying radicals
Adding Radicals 1
Adding Radicals 2
100
Simplify √45
3√5
100

Simplify √25

5

100

What is the 1st step of simplifying a radical?

break the number down to 2 factors, one has to be on the square root list.

100

True or False:  You can add radicals as long as the radicands are different.

False, you can only add them if they are the same.

100

4√6 + 3√6

7√6

200
Simplify √75
5√3
200

Simplify √36

6

200

What is a radical does not break down?

Then there's nothing left to do.

200

If you have an addition problem with two radicals that have different radicands, what is the first step?

i.e if asked to add radical 3 and radical 27

Check if you can simplify the radicals 

200

3√8 + 6√2 

12√2

300
Simplify 2√12
4√3
300

Simplify √49

7

300
If someone breaks down radical 12 to 


6 times 2, is that correct?  If no, why not? Which factors should you use?
Neither 6 not 2 are on the square root list.  You must use 4 and 3 as the factors since you know the square root of 4.
300

√3 + √5 = 

cannot add them so it just stays √3 + √5

300

-10√75 + 2√3

-50√3+ 2√3 = -48√3

400

Simplify √384 

8√6

400

Simplify √225

15

400

What is another word for square root?

radical 

400

Simplify: √24 + 3√6

2√6 + 3√6= 5√6

400

√125 + 3√8

cannot be added but is simplified to 5√5 + 6√2 

500
Simplify -7√96
-28√6
500

Simplify √196

14

500

When breaking down a radical, you choose a number from the square root list that is a factor of the number under the radical.  Do you choose the smallest or the largest factor from the square root list to get the correct answer quickly?

Largest

500

-3√3+ √27

0

500

simplify 3 radical 12 + 4 radical 27

18 radical 3

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