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Prove that root two is an …

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Prove that root two is an irrational numbet

Posted by Inamul Khan 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Sonu Kumar 6 years, 2 months ago

If possible let√2 be the rational no. In The form of. a/b where a and b are Co prime no. Now , √2= a/b. Squaring both side. (√2)2 = a2 / b2.. 2 = a2/b2... b2= a2/2 ... So, 2a is divisible by 2 so, a is divisible by 2(by theorm). Now let a=2c So . b2 =( 2c)2/2 ... b2= 4c2/2. .. b2= 2c2... b2/2= c2.. Hence, ... B2 is divisible by 2 so, B is divisible by 2(by theorm).... Hence our contradiction is wrong and√2 is irrational ....proved.... Here, a2 = a square...

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