Show that 2-√3 is an irrational number
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Step-by-step explanation:
Let 2-√3 be rational no.
So,2-√3=p/q
-√3=p/q-2
Since, a and b are integers ,a/b-2 is a rational number and
therefore,-√3 is a rational no.
but this contradicts the fact that it is a irrational number.
This contradiction arises as we have assumed 2-√3 a rational number.
So,2-√3 is a irrational no.
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