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Prove that 3+2√3 is an irrational …

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Prove that 3+2√3 is an irrational number

Posted by Swarna Pattanayak 23 5 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Piyush Kr.?? 5 years, 10 months ago

Sorry there should be let before the very first word of the solution given below??

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Piyush Kr.?? 5 years, 10 months ago

3 + 2 root 3 is a rational number where a divided by b is the simplest form of 3 + 2 root 3 where no any common factor other than 1. Now, a/b=3+2√3==> 2√3=a-3b/b ==> √3= a-3b/2b...Since a-3b/2b is a rational no. And so √3 is a rational no. But this contradicts the fact that √3 is an irrational...Hence our supposition was wrong and so 3+2√3 is an irrational...??

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CBSE > Class 10 > Mathematics