Question

Find the following. Assume variables represent any real number.
sqrt(a+4)^2=

Answer 1

=|a+4| or a+4 depends is it all sqr in the 2nd power or just a+4?

Answer 2

\[\sqrt{(a+4)}^2=|a+4|\] and
\[(\sqrt{a+4})^2=a+4\]

Answer 3

this can be done like this
\[\sqrt{(a+4)^{2}}=|a+4|\]
here |a+4|=a+4 if a+4>0 and hence a>-4
and |a+4|=-(a+4) if a+4<0 and hence a<-4