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  • root(3) is irrational number than Prove that 5+root3 is irrational​

root(3) is irrational number than Prove that 5+root3 is irrational​

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Let (5+\sqrt 3 ) is a rational number 

5 + \sqrt 3 = a/b \\\\ \sqrt 5 = a/b -2 \\\\ \sqrt 5 \neq \frac{a-2b}{b}

Here \sqrt 3 is an irrational number so our assumption is wrong hence (5+\sqrt 3 ) is an irrational number 

Posted by

Ravindra Pindel

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