InterviewSolution
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InterviewSolution
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Prove that /2 is a irrational number ..???Koi h jo isse easy way me bta skta ..???? |
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Answer» Thnx dear? Let /2 be the rational noSo it will in the form of a/b = /2Now there are no common factors between "a and b" a/b =/2a = /2bDo square on both side(a)^2 =(/2b)^2a^2 = 2b^2 ••••••••••••••••••eq 1Now according to theorem 2 will divide a^2 and 2 will divide aNow , let a = 2mDo square on both side(a)^2 = ( 2m)^2a^2= 4m^2 ••••••••••••••••••••eq2Now from eq 1 and 22b^2 =4m^2b^2 = 4m^2 /2b^2 = 2m^2Now again according to theorem 2 will divide b^2 and 2 will divide b #there are common factor between a" and bTherfore it contradicts to our asumption that /2 is rational # /2 is irrational Hence proved If you liked answer then please give the vote ♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡ |
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