Rad Radicals

Simplifying radicals numbers

100

Simplify √45

3√5

200

Simplify √75

5√3

300

Simplify 2√12

4√3

400

Simplify √384 

8√6

500

Simplify -7√96

-28√6

Perfect squares

100

Simplify √25

5

200

Simplify √36

6

300

Simplify √49

7

400

Simplify √225

15

500

Simplify √196

14

Steps to simplifying radicals

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.

200

What is a radical does not break down?

Then there's nothing left to do.

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.

400

What is another word for square root?

radical 

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

Adding Radicals 1

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.

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 

300

√3 + √5 = 

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

400

Simplify: √24 + 3√6

2√6 + 3√6= 5√6

500

-3√3+ √27

0

Adding Radicals 2

100

4√6 + 3√6

7√6

200

3√8 + 6√2 

12√2

300

-10√75 + 2√3

-50√3+ 2√3 = -48√3

400

√125 + 3√8

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

500

simplify 3 radical 12 + 4 radical 27

18 radical 3