prove√2+√3 is an irrational number
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Let √2+√3 be rational no.
p/q = √2+√3
p^2/q^2= 2+3+2√6
p^2/q^2=5+2√6
(p^2/q^2-5)/2 =√6
Since p , q ,2 and 5 are integers, we get (p^2q^2-5)/2 rational no and so √6
But √6 is irrational no.
this contradict our supposition
therefore√2+√3 is irrational no
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