9i think Q2 is an axiom
i dont think there are proofs for Qs like 2 parallel lines dont intersect each other etc
they are driven by definitions and human intuition
Q1.prove thet √2 is irrational.
Q2.how we will prove mathematically that 1*0=0
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3 Answers
1first one is pretty famous..if √2 is rational, √2=p/q
p,q r natural numbers relatively prime to each oder..
2q2=p2
or p is of the form 2k
=> q2=2k2
or q also has to be of the form 2n
which is not possible as p,q supposed to be relatively prime to each oder, so √2 is irrational..
cheers!!
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