divide and simplify

√250x^16 / √2x

To divide and simplify, we first rewrite as a single square root:

√(250x^16) / √(2x)

Now, we can combine the square roots:

√((250x^16)/(2x))

Next, simplify the fraction inside the square root:

√(125x^15)

Finally, break down the square root into two separate factors:

√(125 * x^15)

Now simplify further:

5 * x^7√5