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Pankaj Jyoti Mahanta

SET (N. E. Region) 2012 Exam Question Papers

2012 exam question paper

SET (N. E. Region) 2012 Exam Question Papers

The 2012 exam question papers of Mathematical Sciences, Assamese, English, Economics, Education, History, Philosophy, Political Science, Geography, Manipuri, Bodo, Bengali, Hindi, Anthropology, Sanskrit, Sociology, Commerce, Chemical Science, Life Science and Physical Science for SET conducted by SLET Commission, Assam can be found here and the answer keys of papers can

If p is a prime then √p is irrational

If p is a prime then √p is irrational

To prove √p is irrational, where p is a prime, we will need the following theorem: Theorem: If $$p$$ is prime then $$p|ab,$$ then $$p|a$$ or $$p|b.$$ Proof: If $$p|a,$$ we are done. So let us assume that $$pmid a.$$ Therefore, $$gcd(p,a)=1.$$ Hence,