During the first week of Pre-Calc 11, we spent some time doing a grade 10 review, but, I was very confused I couldn’t remember anything from grade 10 I was lost and stressed out. I asked my peers for help by the end of the week I managed to remember a small amount of math, but not everything I think that’s not bad as we get more into the course I’m sure it will flow smoother. Okay, one new thing I learned was Radicals, but if I was struggling with the review how could I possibly do better on something new well I had to keep the review aside for a while and focus on the new thing instead of messing everything up and creat a bigger confusion zone for myself.

I was still lost at the beginning of the lesson, but I learned slowly moving step by step I learned how to classify true and false radicals statements. In Rascials, there are rules for adding subtraction, and multiplying radicals. For Ex. √14 x √2 = √28 usually what I would think about doing based on what I have learned in grade 10 is to find the square root of each number and then multiply them together, but looking at 2 its very difficult to find its square root since it’s not on of the perfect square list we learned which was: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225. I kept on trying to solve it I tried about 10 times then I knew there was something not right I took a moment to read through the textbook and found that there new thing I had to apply to these types of questions now I knew how important it is to read over the book notes, because our teacher never went over the notes that were on there. Anyway, I found that for multiplying and dividing you just have to multiply the numbers under the square root symbol (radicands) then you you put a square root symbol over your answer. Looking back at my example from the book √14 x√2 = √28. I just had to multiply the 14 and 2 like normal multiplication to get 28 and add square root symbols to give me a true equation of √28 = √28. You can apply this rule to division too for example √20/√10 =√10 this statement would be false because if you just divide 20/10 you would get 2 ending up with √2 = √10 which is wrong. Although this rule does not apply to subtracting and adding in these situations you only can subtract or add radicals if the radicands are the same number. You CANNOT add or subtract radicals if the radicands are different. There is something a little different for subtraction and addition for example √9 – √4 = √9-4. On the right side, you would get 5 when solving, and on the other left side, you would need to find out the square root of each radical and then subtract them from each other. You can NOT subtract or add radicals you need to find the square root first in this example √9 = 3 and √4 = 2 the 3-2 = 1 we simplify this side and then subtract the right side √9-4 = 5 where we came to this result 3=5. The answers we got on both sides are so far apart from each other making this statement false. That was much simpler than what I was doing for 10 minutes on one question and couldn’t figure it out, but it’s always good to learn that way because I find it increases my ability to remember the concept.