to the nearest dollars, how much money is earned on a 1,500 investment at 6% annual compound interest for 5 years than a 1,500 investment at 6% simple interest for 5 years

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.