Thursday, April 12, 2007
posted by Tony at 7:03 PM
Radicals

Definition : A radical is any expression under a square root sign.

* Our goal is to be able to simplify radicals to their simplest form.
Rules for multiplying radicals.




Example :

1.


Rules for simplifying radicals :

1. Break up what's under the square root sign into a product of factors, finding the LARGEST PERFECT SQUARE.
2. Split up and simplify.

Examples :

1. Factors of 20 : 1, 2, 4, 5, 10, 20. In this case, 4 is the perfect square.



2.



3.



4. Seeing how it's the square root of 3. You are going to have to find a number multiplied by itself 3 times instead of 2.

Factors of 40 : 1, 2, 4, 5, 8, 10, 20, 40. (Perfect cube = 2 x 2 x 2 = 8)




5.



After the teacher gave some examples, he instructed us to do exercise 33. You have to omit questions 5, 12, and lastly 7. The next blogger is already decided by Mrs. Armstrong. Feel free to comment on anything that might be wrong about the lesson. :) Thanks!