Question 106
a) Prove that there are infinitely many natural numbers $n$ such that $2 \cdot n$ is a perfect square and $3 \cdot n$ is a perfect cube.
b) Prove that there is no natural number $m$ such that $2 + m$ is a perfect square and $3 \cdot m$ is a perfect cube.
b) Prove that there is no natural number $m$ such that $2 + m$ is a perfect square and $3 \cdot m$ is a perfect cube.