Answer:
10 cups
Step-by-step explanation:
The divergence of <em>F</em> is
div(<em>F</em> ) = ∂(<em>x</em> + <em>yz</em>)/∂<em>x</em> + ∂(<em>y</em> + <em>xz</em>)/∂<em>y</em> + ∂(<em>z</em> + <em>xy</em>)/∂<em>z</em>
div(<em>F</em> ) = 1 + 1 + 1
div(<em>F</em> ) = 3
![3 \sqrt{729}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B729%7D%20)
The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:
![3 \sqrt{81*9}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B81%2A9%7D%20)
Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
![3 \sqrt{81*9} \\ 3*9*3](https://tex.z-dn.net/?f=3%20%5Csqrt%7B81%2A9%7D%20%5C%5C%203%2A9%2A3)
Now, just multiply: