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Prove that root 3 is a …

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Prove that root 3 is a irrational number

Posted by Vishnu Meena 6 years, 10 months ago

CBSE > Class 10 > Mathematics

5 answers

Garima Choudhary 6 years, 10 months ago

Ok frnd understood

Garima Choudhary 6 years, 10 months ago

Let √3 is rational no. So it can be written in form of p/q . So, √3=p/q where p and q are co-prime . Square on both sides . 3=p^2/q^2 . p^2= 3q^2 . So 3is factor of p^2 ,thus it will also be the factor of p. Let p=3r . P^2= 3q^2 . (3r)^2 = 3q^2 . 9r^2 = 3q^2 . 3r^2 = q^2 . So 3is also factor of q^2 then it also be the factor of q but earlier we assumed that p and q are co-prime they do not have commen factor except 1 . So this contradiction just arisen bcz of our wrong assumption . So √3 is irrational .

Piyush Kamboj?? 6 years, 10 months ago

Bhai bahut bada hai ye sidha board mai krunga

Garima Choudhary 6 years, 10 months ago

Chal m batati hoon

Garima Choudhary 6 years, 10 months ago

Yrr google pe srech maar na

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