You can only add and subtract like terms.

Example: 4x+3x=7x

2√2 + 3√2 = 5√2

These two examples can be added together because

their bases are the same.

5x+3y=5x+3y

4√2 + 3√3 = 4√2 + 3√3

In order to add/subtract radicals you must first simplify.

2√2 + 3√2 = 5√2

These two examples can be added together because

their bases are the same.

5x+3y=5x+3y

4√2 + 3√3 = 4√2 + 3√3

These two examples cannot be added together since their bases are not the same.

In order to add/subtract radicals you must first simplify.

Example: 2√12 - 3√48 (Starting problem)

2√4·3 - 3√16·3 (Break the problem up so there's a perfect square under the root)

4√3 - 12√3 (Solve the perfect square and multiply it with the number at the front, if there's no number in front, its considered to be a 1)

-8√3 (Combine like terms)

2√4·3 - 3√16·3 (Break the problem up so there's a perfect square under the root)

4√3 - 12√3 (Solve the perfect square and multiply it with the number at the front, if there's no number in front, its considered to be a 1)

-8√3 (Combine like terms)

Example: √12 + 2√8 - 3√75 + √2(Starting problem)

√4·3 - 2√4·2 - 3√25·3 + √2 (Break the problem up with the highest perfect square that can be multiplyed into the original number)

2√3 - 4√2 - 15√3 + √2 (Solve the perfect square and multiply it with the number at the front, if there's no number in front, its considered to be a 1)

-13√3 + 5√2 (Combine like terms)

Note: The next example has the cube root represented by an upper 3.

Example:

2

5·

Example: 6x√x - 7√x

6x√x - 7x√x (Since this problem is rather easy, we can just look at it and take out x

-x√x (Combine like terms)

√4·3 - 2√4·2 - 3√25·3 + √2 (Break the problem up with the highest perfect square that can be multiplyed into the original number)

2√3 - 4√2 - 15√3 + √2 (Solve the perfect square and multiply it with the number at the front, if there's no number in front, its considered to be a 1)

-13√3 + 5√2 (Combine like terms)

Note: The next example has the cube root represented by an upper 3.

Example:

^{3}√24 +^{3}√81 + 2√12 - 3√48 (Starting problem)^{3}√8·3 +^{3}√27·3 + 2√4·3 - 3√16·3 (Break up the problem with the highest perfect cube that can be multiplyed into the original number)2

^{3}√3 + 3^{3}√3 + 4√3 - 12√3 (Solve the perfect cube and multiply it with the number at the front, if there's no number in front, it's considered to be a 1)5·

^{3}√3 - 8√3(Combine like terms, remember to keep square, cube etc. roots seperated.)Example: 6x√x - 7√x

^{3}(Starting problem)6x√x - 7x√x (Since this problem is rather easy, we can just look at it and take out x

^{2}from x^{3}which leaves us with x)-x√x (Combine like terms)

Ms.Armstrong also gave us a Radical Puzzle(Square Root) which was to be put correctly into the shape of an equilateral triangle.

Homework was Exercise #34 omitting 10,16,18. If there's any questions feel free to comment. If you need any additional help, click here to view a page about radicals.

Originally posted by Jamie:

Homework was Exercise #34 omitting 10,16,18. If there's any questions feel free to comment. If you need any additional help, click here to view a page about radicals.

Originally posted by Jamie:

"The next person who will post will be "tall guy" Chris. Yes you. Haha. Mwahahahhaha.... =D"The next person who will post will be the "small person" Jamie. Yes you. Haha. Mwahahahhaha....=D