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3 + root 2 irrational number Prove |
| Answer» To prove 3+root 2 is irrational.Proof-Let 3+root 2 is rational number. So we can write it in the form of p/q where p and q are co-prime number. According to question 3+root2=p/qRoot 2=p-3/qHere LHS is rational so RHS should must be rational but it is contradiction the fact that 3+root 2 is rational. So, our supposition that 3+root 2 is rational is wrong. Hence, 3+root 2 is irrational. | |