a) Let n = 67 Find the approximate value for the square root of n. (Round your answer to two decimal places.) The square root of n ≈ " " Write a list of all the prime numbers less than or equal to the square root of n. (Enter your answers as a comma-separated list.) Answer = " " Is the following statement true or false? When n = 67, n is not divisible by any prime number less than or equal to the square root of 'n'.
(a) Let n = 67
Find the approximate value for the square root of n. (Round your answer to two decimal places.)
The square root of n ≈ " "
Write a list of all the prime numbers less than or equal to the square root of n. (Enter your answers as a comma-separated list.)
Answer = " "
Is the following statement true or false?
When n = 67, n is not divisible by any prime number less than or equal to the square root of 'n'.
(b) Suppose n is a fixed integer. Let S be the statement, "n is not divisible by any prime number less than or equal to n ." The following statement is equivalent to S:
∀ prime number p, if p is less than or equal to n then n is not divisible by p.
Which of the following are negations for S? (Select all that apply.)
∃ a prime number p such that p ≤ the square root of n and n is divisible by p.
n is divisible by every prime number less than or equal to the square root of n.
∃ a prime number p such that p is a multiple of n and p is less than or equal to the square root of n.
n is divisible by some prime number that is less than or equal to the square root of n.
∀ prime number p, if p is less than or equal to the square root of n, then n is divisible by p.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
