Show that 2-√3 is an irrational number

1.	Show that 2-√3 is an irrational number
Answer» Let we assume that 2-√3 is R.NTherefore, it can be written as 2-√3=p/q=> 2-√3= p/q=> p - 2q/q = √3since, p and q are integerTherefore, p/q is R.NTherefore, p - 2q/q is also a R.NTherefore, √3 is also a R.NBut we know that √3 is irrational numberHere is a contradictionSo, we finally say that 2 - √3 is irrational number

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