SOLUTION: Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary sqrt (a^2+2a+1)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary sqrt (a^2+2a+1)      Log On


   

Question 442571: Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary
sqrt (a^2+2a+1)
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Notice that highlight%28a%5E2%29%2B2a%2Bhighlight%281%29 are perfect squares.
%28a%29%5E2+=+a%5E2
%281%29%5E2+=+1
Then the factorization of a%5E2%2B2a%2B1+=+%28a%2B1%29%5E2
Recall that sqrt%28x%5E2%29+=+abs%28x%29
Then sqrt%28%28a%2B1%29%5E2%29+=+abs%28a%2B1%29
abs%28a%2B1%29 is our answer.