MATH 266-01 (091) TEST 2
1. (a) (5 pts) What proof method is used to prove that the number √11 is irrational?
(1-3 words will suffice.)
(b) (15 pts) Prove that the number √11 is irrational.
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8 Questions to Prove the Irrational Methods - Exam 2 | MATH 266, Exams of Elementary Mathematics
Material Type: Exam; Professor: Currey; Class: Principles of Mathematics; Subject: Mathematics; University: Saint Louis University; Term: Unknown 1989;
Typology: Exams
2009/2010
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MATH 266-01 (091) TEST 2
- (a) (5 pts) What proof method is used to prove that the number
11 is irrational?
(1-3 words will suffice.)
(b) (15 pts) Prove that the number
11 is irrational.
- (10 pts) Prove that there do not exist integers m and n such that 21m + 14n = 1.
- (a) (5 pts) Let p be a prime number and let a be a natural number. If p - a, then what can you
say about GCD(p, a)?
(b) (15 pts) Let p be a prime number and let a and b be natural numbers. Prove that if p | ab, then
either p | a or p | b.
- (15 pts) Let A and B be sets. Prove that A − (A − B) = A ∩ B.