Ok, so I appreciate that this isnt a difficult question, but I am having some serious problems here...
After years of being afraid to learn maths, I have finally bitten the bullet and decided to go back to school. I want to work with sciences, so I need a strong background in maths. To prepare for going back to school (there are some paperwork issues stopping me applying immediately) I am currently re-learning using the book Algebra Demystified (I plan to work on other books in the series after im done with this one, until I am able to go to college).
Anyway, im stuck on roots, particularly simplifying roots.
I dont really understand the process, and I dont really understand WHY we simplify roots. Basically, the whole thing has gotten me a bit stumped, and i wondered if I could ask here for some help?
Thanks in advance, and im so sorry if this is a bit garbled... I will try to clarify it a bit if needed?
True, i guess I was a bit too vague... I get that it is there to make them easier to use in a calculation, but I dont understand the process of simplifying them at all, and I cannot find an explanation as to why the answers to these problems are written the way they are etc.
I can follow the method fairly easily, but I dont understand why certain numbers end up on either side of the √ sign, and how that was reached...
For example, simplifying √27... the answer is given as 3√3³. I dont get how they got to that answer, I understand that 3*3*3= 27, but it just isnt making any sense at all to me in terms of roots... and of course, once you include variables in there too, im completely lost!
Ok, here is the basic you might need to know...
Definition: A square root of a number is a number that when squared is equal to the given number.
example: The square root of 25 is 5 and -5
Definition: represent the positive square root of a number, a.
the negative square root represented by