prove that 3+2√7 is irrational number. step by step explanation . ACCORDING TO 10TH CLASS CBSE BOARD .
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Step-by-step explanation:
Let 3+2√7 is rational number
Therefore,3+2√7=p/q,where q is not equals to zero nd HCF(p,q)=1
=>3+2√7=p/q
=>2+√7=p/q-3
=>2√7=p-3q/q
=>√7=p-3q/2q
=>irrational=rational
which is not possible
therefore our supposition is wrong
Hence,3+2√7 is irrational
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