lo prove that 3 + 2/5 is irrational,

1.	lo prove that 3 + 2/5 is irrational,
Answer» To prove: 3+2√5 is irrationalLet us assume that l 3 + 2 √ 5 is rational Thus 3 + 2 √5=a/b(where a and b are co prime integer ) √5=a-3/2b because, a-3/2b is rationaltherefore root 5 will also be rational but we know that,root 5 is irrational Therefore our assumption is wrongThat is 3+2 √ 5 is irrational

Answer»

To prove: 3+2√5 is irrationalLet us assume that l 3 + 2 √ 5 is rational

Thus 3 + 2 √5=a/b(where a and b are co prime integer )

√5=a-3/2b

because, a-3/2b is rationaltherefore root 5 will also be rational

but we know that,root 5 is irrational

Therefore our assumption is wrongThat is 3+2 √ 5 is irrational

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