Prove that 7-2£3 is irrational number

1.	Prove that 7-2£3 is irrational number
Answer» Let 7-2√3 as rational number.Then,7-2√3=a/b,where a and b are coprime.Therefore,-2√3=a/b-7√3=a/-2b -7Here,a/-2b -7 is a rational number .We know that √3 is an irrational number.Hence,our assumption is not correct.Therefore,7-2√3 is an irrational number.

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