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Prove under root 2 and under root 3 are irrational numbers

Posted by Prachi Nagar 7 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Priyanshu Nagar 7 years, 6 months ago

under root 3 is equal to a upon B और a and b are co prime under root 3 is equal to a upon B =3= ए स्क्वायर upon बी स्क्वायर=3b square = a square = 3 Mod a square =3 mod a = a=c for some integer c = a square = 9c square = 3b square = 9c square =b square =3c square =3mod b square =3mod b From 1and2 we observe that a and b have at least 3as comman factor. But this contraDicts the fact that a and b are coprime. This means that our assumption is not correct. Hence under root 3 is an irrational number

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