Let's start by rationalizing the radical:
4√6/√50 * √50/√50
This gets rid of the radical in the denominator, giving us:
4√300/50
√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:
4 * 10√3/50
This is equivalent to:
40√3/50
40/50 can be simplified to 4/5.
Therefore, the answer is 4√3/5.
