Prove that 5+2√3 is irrational

1.	Prove that 5+2√3 is irrational
Answer» Let us assume,5+2√5 is a rational no.3+2√5=a//b. (b is not = 0)2√5=a/b-52√5=a-5b/2b√5=a-5b/2bsince,a-5b/2b is a rational no.and √5is a irrational no.Therefore,rational no.can never be equal to irrational no.Hence,Our assumption was wrong5+2√5 is an irrational no.

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