A square with 1,536 soldiers are not possible, i.e. the square root of 1,536 is about 39.191, which means that 1,536 is not a square a number. In order for it to be a square number, we have to round up 39.191 (because it says "how many more soldiers") to 40 and 40×40=1,600 and 1,600-1,536, so we need 64 more soldiers.
The greatest 4 digit number is simple. If the square root of 10,000 is 100, than, one can assume that because 100-1=99, the resulting answer of 99×99 is less than 10,000, meaning that is is 4 digits. 99×99=9,801.
The mean is 3 fish per day.
(0+3+6) = 9
9/3 = 3
Answer:

Step-by-step explanation:
Given

Required
Find n
Simplify (n + 1)!

Factorize
![n![2(n+1) + 6] = 3(n+1)*n!](https://tex.z-dn.net/?f=n%21%5B2%28n%2B1%29%20%2B%206%5D%20%3D%203%28n%2B1%29%2An%21)
Divide both sides by n!

Open brackets


Collect like terms


Multiply both sides by -1

The answer is 42! hope this helps!