What is the product of 82 and 5/10 in simplest radical form?

1 answer

To find the product of \( 82 \) and \( \frac{5}{10} \), we first simplify \( \frac{5}{10} \):

\[ \frac{5}{10} = \frac{1}{2} \]

Now, we compute the product:

\[ 82 \times \frac{1}{2} = \frac{82}{2} = 41 \]

Next, we need to express \( 41 \) in simplest radical form. The number \( 41 \) is a whole number and can also be expressed as a square root:

\[ 41 = \sqrt{41^2} = \sqrt{1681} \]

Since \( 41 \) is not a perfect square (it is a prime number), the simplest radical form of \( 41 \) is just \( 41 \) itself. Thus, the final answer is:

\[ \boxed{41} \]