SOLUTION: I'm using a book called No-Nonsense Algebra by Richard Fisher. I've run into a problem that I can't solve. I have the answer from the book but I would like to know how to solve the

Algebra ->  Square-cubic-other-roots -> SOLUTION: I'm using a book called No-Nonsense Algebra by Richard Fisher. I've run into a problem that I can't solve. I have the answer from the book but I would like to know how to solve the      Log On


   

Question 1188235: I'm using a book called No-Nonsense Algebra by Richard Fisher. I've run into a problem that I can't solve. I have the answer from the book but I would like to know how to solve the problem. I tried this;I can see it factors out to x minus 5 squared. Since it's squared I put (x minus 5) x sqrt(x minus 5) but from there not sure what to do. Any help would be appreciated. Thank you!
The square root of x squared minus 10x plus 25.
sqrt%28+x%5E2-10x%2B25%29
Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28+x%5E2-10x%2B25%29
=sqrt%28+x%5E2-10x%2B5%5E2%29
=sqrt%28+%28x-5%29%5E2%29 .......sqrt and 2 power cancel each other
=x-5

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


The factoring happens under the square root sign:



+sqrt%28x%5E2-10x%2B25%29+ = sqrt%28+%28x-5%29%5E2%29+ 



... now you can just take the square root of the square ...

= +x-5+