Saturday, November 04, 2006
posted by Chris at 2:17 p.m.
Today in Friday's class, we learned about: Adding and Subtracting Radicals.

You can only add and subtract like terms.

Example: 4x+3x=7x
22 + 32 = 52
These two examples can be added together because
their bases are the same.

5x+3y=5x+3y
42 + 33 = 42 + 33
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: 212 - 348 (Starting problem)
24·3 - 316·3 (Break the problem up so there's a perfect square under the root)
43 - 123 (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)
-83 (Combine like terms)

Example: 12 + 28 - 375 + 2(Starting problem)
4·3 - 24·2 - 325·3 + 2 (Break the problem up with the highest perfect square that can be multiplyed into the original number)
23 - 42 - 153 + 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)
-133 + 52 (Combine like terms)

Note: The next example has the cube root represented by an upper 3.
Example: 324 + 381 + 212 - 348 (Starting problem)
38·3 + 327·3 + 24·3 - 316·3 (Break up the problem with the highest perfect cube that can be multiplyed into the original number)
233 + 333 + 43 - 123 (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)
33 - 83(Combine like terms, remember to keep square, cube etc. roots seperated.)

Example: 6xx - 7x3 (Starting problem)
6xx - 7xx (Since this problem is rather easy, we can just look at it and take out x2 from x3 which leaves us with x)
-xx (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:
"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