Answer:
False
Step-by-step explanation:
Lets call the three prime divisors of n p, q, and r, being r the largest, we know:
![n=q * p * r](https://tex.z-dn.net/?f=n%3Dq%20%2A%20p%20%2A%20r)
Now, if
![q * p < r](https://tex.z-dn.net/?f=q%20%2A%20p%20%3C%20r)
then
![n < r * r = r^2](https://tex.z-dn.net/?f=n%20%3C%20r%20%2A%20r%20%3D%20r%5E2)
So:
![\sqrt{n} < \sqrt{r^2} = r](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3C%20%5Csqrt%7Br%5E2%7D%20%3D%20r)
Also, for every natural greater than one, we know:
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D)
so
![\sqrt[3]{n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3C%5Csqrt%7Bn%7D%20%3C%20r)
from which:
![\sqrt[3]{n} < r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3C%20r)
So, we see, this means the preposition is false, we can find a particular counterexample:
q=2
p=3
p*q = 6
We need to choose a prime greater than 6
r=7
n= 2 * 3 *7 = 42
![\sqrt[3]{42} = 3.4760 < 7](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B42%7D%20%3D%203.4760%20%3C%207)
14 8/9 cups of fruit punch
Answer:
![6 \times 12.5 = 75](https://tex.z-dn.net/?f=6%20%5Ctimes%2012.5%20%3D%2075)
The total price in shoe sales equals $709.96
10% of $709.96 is $71 after rounding up.
$71 plus $75=$146
answer-$146
Answer:
I think it's the top left one
Step-by-step explanation: