Answer:
B
Step-by-step explanation:
There are many ways of seeing this problem. One of them is
cube root(5) / cube root (9) which translates to
cube root(5)/ cube root(3*3)
To rationalize the denominator you need another 3 in the denominator.
Rule: To rationalize anything, you need the power in denominator to be divisible by the power on the denominator. Whatever it takes to get it up to get it to a number that is divisible by the root is what you multiply the denominator by.
So in this case, you need 3 threes in the denominator. You have 2. You need 1 more. If you add 1 more root in the denominator, you must do the same in the numerator.
cube root(5)*cube root (3) / (cube root (3 * 3) * cube root (3) )
cube root (15) / cube root (3 * 3 * 3)
cube root (15) / 3
Answer B is the closest.
