5. Prove that 2+ (underoot)3 is an irrational number
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Answer:
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 assumption is false.
Therefore,2+√3 is an irrational number.
Hence proved.
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