Week 4-Pre Calc

This week was filled with many new and challenging lessons. We went over Absolute Values, Roots and Radicals, Adding and subtracting Radicals, Multiplying and dividing Radicals, and solving Radical equations. From all these lessons the one I found the most challenging was Multiplying and dividing Radicals.

Generally the idea is to:

1. Multiply coefficients

2. Multiply radicands

3. Simplify

one questin that I struggled with INV the beginning of learning multiplication was

2\sqrt{5}(3\sqrt{45}-8\sqrt{5}+\sqrt{20})

I have to admit, when I first saw the question I had no idea where to start.

I soon learned that you need to multiple the Radical that’s on the outside of the bracket (2\sqrt{5} and multiply it with the Radicals inside the bracket.

after this step is complete you should have: 6\sqrt{5×45}-16\sqrt{5×5}+2(10)

From the last equation all you need to do is solve everything inside the square root sign so you will end up with: 6(15)-16(5)+2(10)

Then all you need to do for the rest of the equation is solve so you should get:

90-80+20

=30

This was one of the first equations that we learned when started our multiply and dividing Radicals lesson. At the start it really confused me and looked very intimmidating, now when I see these types of questions I have no worries becasue I know how to solve them.