Question

find the following, assume that variables can represent any real number
sqr rt (a+3)^2

Answer 1

a+3

Answer 2

\[\sqrt{(a+3)^2}=\pm (a+3)\]

Answer 3

\[\text{ if } a+3>0 |a+3|=a+3\]

Answer 4

\[\text{ if } a+3<0 |a+3|=-(a+3)\]

Answer 5

\[\Large \sqrt{(a+3)^2} = |a+3|\] where 'a' is any real number

Answer 6

\[\text{ if } a+3=0 |a+3|=0\]

Answer 7

last case you can include that in either of two cases in mentioned above

Answer 8

It's important to keep in mind that \[\Large \sqrt{x^2}=|x|\] where x is any real number

Answer 9

i probably should i had put a comma in my statements oh well