(Answered)-Disprove each of the following assertions: Please explain in - (2025 Updated Original AI-Free Solution

Discipline:

Type of Paper:

Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

Buy For $11.00 Order Custom Paper

Buy For $11.00

Question

Disprove?each?of?the?following?assertions: Please explain in detail your method to disprove?
a.)?n^2?+?n?+?41?is?prime?for?every?positive?integer?n
b.)?the?product?of?any?tow?irrational?number?is?irrational
c.)?the?product?of?any?rational?number?and?any?irrational?number?is?irrational

Let 2?2 be the irrational number. Then 2??2?=|2|2?2=|2|, which is rational. So, the product of
two irrational numbers is not always irrational