SOLUTION: how can i solve this (rout 2) * (rout: 2-rout 2) * (rout:2+ rout 2)= i hope u can understand cause i don't know how to write the symbol of route on the pc

Algebra ->  Square-cubic-other-roots -> SOLUTION: how can i solve this (rout 2) * (rout: 2-rout 2) * (rout:2+ rout 2)= i hope u can understand cause i don't know how to write the symbol of route on the pc      Log On


   

Question 116580: how can i solve this
(rout 2) * (rout: 2-rout 2) * (rout:2+ rout 2)=
i hope u can understand cause i don't know how to write the symbol of route on the pc
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I think what you are asking is
%28sqrt%282%29%29+%2A+%28sqrt%282%29-sqrt%282%29%29+%2A+%28sqrt%282%29%2B+sqrt%282%29%29

Below is my explanation of this problem as if it were a regular multiplication of square roots problem. However, I just noticed that in the given problem, the middle factor +sqrt%282%29+-+sqrt%282%29+ is ZERO!! So the entire answer is zero!! The following explanation is not needed in this case. However, I will post the entire solution, since most problems do NOT work in this EASY way.

Multiply the binomials together first, using F OI L:
%28sqrt%282%29%29+%2A+%28sqrt%284%29%2Bsqrt%284%29-sqrt%284%29-+sqrt%284%29%29
%28sqrt%282%29%29+%2A+%282%2B2-2-+2%29
%28sqrt%282%29%29+%2A+%280%29
0+

I have a pretty good section on square roots on my own website. Go to my website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Take the first link, which is called "Basic and Intermediate Algebra: One Step at a Time". Look for "Chapter 5" which is an entire chapter from first level algebra on square roots. You probably need to see section 5.04 which is multiplication of square roots.

Also, look for the "MATH IN LIVING COLOR" page, and check out Basic Algebra, Chapter 5, Section 5.04.

I hope this is helpful!!

R^2