Solve the proportion:

Question

4/x = (radical sign over 11, not -1) 11 - 1/3

Please solve and explain. My answer does not match any of my choices.

Answer 1

4/x= sqrt11 -1/3
x= 4/(sqrt11-1/3)

Now some would rationalize the denominator, but multiplying the right side by sqrt11+1/3

x=4(sqrt11+1/3)/(11-1/9)

Answer 2

are you certain you copied this correctly? This is a little complicated for an Algebra I student.

Answer 3

It is copied correctly. My choices are:

6/5 sqrt11 + 6/5
5/6 sqrt11 + 6/5
6/5 sqrt11 - 6/5
5/6 sqrt11 - 6/5