Answer:
Explanation:
First, you can take a factor of (3) out of the numerator and denominator. This simplifies to equal 1, so you are left with 3/√5.
6 / 3√5 -----> (3/3) x 2/1√5 ---> (1) x 2/√5 ---> 2/√5
Because radicals should not be kept in the denominator, multiply both the numerator and denominator by the radical of 5. This removes the radical from the denominator while altering both the numerator and denominator equally. Remember, the square root of a number is technically the number raised to the 1/2 power. The 1/2 power times the 1/2 power equals the power of one, essentially "eliminating" the radical.
2/√5 ---> 2/√5 x √5/√5 ---> 2√5 / 5
As there is not way to simplify further, your final answer should be
.