SOLUTION: simplify radical, assume all variables are unrestricted sqrt(n^2+12n+36)

Algebra ->  Radicals -> SOLUTION: simplify radical, assume all variables are unrestricted sqrt(n^2+12n+36)      Log On


   

Question 146697: simplify radical, assume all variables are unrestricted
sqrt(n^2+12n+36)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28n%5E2%2B12n%2B36%29 Start with the given expression


sqrt%28%28n%2B6%29%5E2%29 Factor n%5E2%2B12n%2B36 to get %28n%2B6%29%5E2


n%2B6 Take the square root of %28n%2B6%29%5E2 to get n%2B6. Note: we're must assume that every variable is positive


sqrt%28n%5E2%2B12n%2B36%29=n%2B6 where n%3E0