how to prove √12 is irrational?
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this is an solution
very easy solution
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Step-by-step explanation:
suppose root 12 is rational
root 12=p/q (p and q are Co primes )
root 12q =p
12q^2=p^2 ('s. o.b.s)
12 divides q^2
12 divides q
q=12c
q^2=144c^2
p^2=12c^2
12 divides p^2
12 divides p
which is a contradiction
therefore...root 12 is irrational
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