To determine the type of product that results from multiplying \(35\) and \(3\pi\), we can analyze the components involved in the multiplication:
- 35 is a whole number (an integer).
- \(3\pi\) involves \(\pi\), which is known to be an irrational number.
When a whole number (35) is multiplied by an irrational number (\(3\pi\)), the product will also be an irrational number. This is because the product of a rational number (like 35) and an irrational number (like \(\pi\)) is always irrational.
Therefore, the result of multiplying \(35\) and \(3\pi\) is:
an irrational number.