prove that under root 3 + 2 to irrational number
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Step-by-step explanation:
Hi friend,
Let 2+√3 is a rational number.
A rational number can be written in the form of p/q.
2+√3=p/q
√3=p/q-2
√3=(p-2q)/q
p,q are integers then (p-2q)/q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our supposition is false.
Therefore,2+√3 is an irrational number.
Hence proved.
Hope it helps
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Azhar08:
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