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Prove that /2 is a irrational …

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Prove that /2 is a irrational number ..??? Koi h jo isse easy way me bta skta ..????

Posted by Arush Chaubey 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Arush Chaubey 7 years, 3 months ago

Thnx dear?

Manish Singh 7 years, 3 months ago

Let /2 be the rational no So it will in the form of a/b = /2 Now there are no common factors between "a and b" a/b =/2 a = /2b Do square on both side (a)^2 =(/2b)^2 a^2 = 2b^2 ••••••••••••••••••eq 1 Now according to theorem 2 will divide a^2 and 2 will divide a Now , let a = 2m Do square on both side (a)^2 = ( 2m)^2 a^2= 4m^2 ••••••••••••••••••••eq2 Now from eq 1 and 2 2b^2 =4m^2 b^2 = 4m^2 /2 b^2 = 2m^2 Now again according to theorem 2 will divide b^2 and 2 will divide b #there are common factor between a" and b Therfore 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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Posted by Hari Anand 6 months, 1 week ago

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This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

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Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
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Ask specific question which are clear and concise.

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CBSE > Class 10 > Mathematics

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If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

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