Atwelve foot piece of string is cut into two pieces so that the longer piece is three feet longer than twice the shorter piece. find the lengths of both pieces

Longer piece = two times the shorter piece plus 3 feet
L = 2S + 3
Two variables means you need 2 equations.  Try adding the two pieces together like so:
L + S = 12 feet
Solve for L:
L = 12 - S 
Then Substitute L in the other equation:
(12 - S) = 2S + 3
Solve for S, then put S back into the L = 12 - S equation and solve for L. :-)

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.