The natural number n makes 8-N under the root sign an integer, and M is the smallest positive integer that makes 20m under the root sign an integer. Find the square of (- n) under the root sign + the square of 20m under the root sign

The natural number n makes 8-N under the root sign an integer, and M is the smallest positive integer that makes 20m under the root sign an integer. Find the square of (- n) under the root sign + the square of 20m under the root sign

The natural number n makes 8-N under the root sign an integer  n = 4 or 7
M is the smallest positive integer that makes 20 m under the root sign an integer. M = 5
The square of (- n) under root sign + the square of 20m under root sign = 4 + 100 = 104 or 7 + 100 = 107

If the positive integer solution of the inequality - M-X + 6 > 0 about X is 1,2,3, what value should m take

M is less than or equal to 3 and greater than 2!
-M-X + 6 is greater than 0, that is, X is less than 6-m
So the solution of 6-m positive integer is 1, 2, 3

Find the positive integer solution of inequality 13 (x + 1) - 12 (x − 1) ≥ 16 (X-2)

From the inequality: 13X ≤ 76, the solution: X ≤ 72, so the positive integer solution of the original inequality is x = 1, 2, 3