What is the sum? (1/x+2)+(1/x+3)+(1/x^2+5+6)

For this case we have the following expression:
 (1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
 Rewriting we have:
 (1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
 By doing common factor we have:
 (1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
 Rewriting:
 (1 / ((x + 2) * (x + 3))) * (2x + 6)
 The sum is:
 ((2x + 6) / ((x + 2) * (x + 3)))
 
 ((2x + 6) / ((x + 2) * (x + 3)))

21/2 or 5/2

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.