Prove that ( 3+2 root 5 ) squareisan irrational no

1.	Prove that ( 3+2 root 5 ) squareisan irrational no
Answer» 3+2√5=a/b2√5=a/b-3√5=a/2b-3=RHS is rational Let us assume that √5 is rational Then √5=p/qAlso P&q are co primes Squaring on both sides 5 divides p and q This contractions arises due to our wrong assumption that √5 is rational =√5 is rational

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