Prove that 4-2√5 is an irrational number. – InterviewSolution

1.	Prove that 4-2√5 is an irrational number.
Answer» assume that(4−5 2)is RATIONAL .Subtract given number from 4, considering 4 is rational number. as we know DIFFERENCE of two rational numbers is rational.4−(4−5 2)is rational⇒52is rationalwhich is only possible if5is rational and 2is rational.As we know prouduct of two rational number s rationalBut the fact is2is an irrational.Which is contradictory to our assumption.HENCE,4−52is irrational . hence proved.Answered By toppr108 ViewsHow SATISFIED are you with the answer?This will help us to improve betteranswrGet Instant Solutions, 24x7No Signup requiredDOWNLOAD APPMore Questions by difficultyEASYMEDIUMHARDPrev QuestionNext QUESTION

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