can anyone show how to solve this algebraically?

[topspin330]

a,b,c, and d are positive numbers. If ab = c and a/b = d, what is a+b?

a) dsqrt(cd)
b) sqrt(cd)/d
c) (sqrt(cd) + d)/d
d) d(sqrt(cd)+1)/d
e) (sqrt(cd)(d+1))/d


thanks.

[topspin330]

nvm got it.

[pemdas]

find (a+b)?

b=c/a and a^2=cd (from ab* a/b)
b+sqroot(a^2)=c/sqroot(cd) +sqroot(cd)= (c+cd)/sqroot(cd)=
sqrt(c)*[sqroot(c)+d*sqroot(c)]/sqroot(cd)= sqroot(c)*(1+d)/sqroot(d)= sqroot(cd)*(1+d)/d

e

a,b,c, and d are positive numbers. If ab = c and a/b = d, what is a+b?

a) dsqrt(cd)
b) sqrt(cd)/d
c) (sqrt(cd) + d)/d
d) d(sqrt(cd)+1)/d
e) (sqrt(cd)(d+1))/d


thanks.