SOLUTION: am trying to expand out and simplify the following, but for the life of me i can't make out my teachers notes, they are all over the page, some might not even be in english. any wa

Algebra ->  Square-cubic-other-roots -> SOLUTION: am trying to expand out and simplify the following, but for the life of me i can't make out my teachers notes, they are all over the page, some might not even be in english. any wa      Log On


   

Question 34713: am trying to expand out and simplify the following, but for the life of me i can't make out my teachers notes, they are all over the page, some might not even be in english. any way hope you can help. cheers.
√6(√6-√10)
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%286%29+%28sqrt%286%29+-+sqrt%2810%29%29+
Alright, first thing, lets make this a simpler problem
+x+%28x+-+y%29+
When solving this we distribute
+x%5E2+-+xy+
Using this formula, lets distribute the first expression
+sqrt%286%29+%28sqrt%286%29+-+sqrt%2810%29%29+
+%28sqrt%286%29%29%5E2+-+%28sqrt%286%29%29%28sqrt%2810%29%29+
When you have a root and a square, they cancel one another and leave the number that is in the root. So, therefore, the first number is just 6
+6+-+%28sqrt%286%29%29%28sqrt%2810%29%29+
When multiplying roots, they can move under one root.
+6+-+%28sqrt%286%2A10%29%29+
Factor the root
+6+-+%28sqrt%282%2A3%2A2%2A5%29%29+
Take the pairs that are under the root, to the outside, but when you do this, one of the pair disappears.
+6+-+2%28sqrt%283%2A5%29%29+
Multiply what is left under the root
+6+-+2%28sqrt%2815%29%29+
DONE