Question

prove that 5-2root3 is irrational​

Answer 1

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Answer 2

Answer:

Suppose on the contrary 5-2√3 is rational

therefore 5-2√3=p/q

√3=-(1/2)[(p/q)-5]

since p and q are integers

therefore -(1/2)[(p/q)-5] is rational

but √3 is irrational

therefore 5-2√3 is irrational

hence proved

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