What is the product of the following expression in simplest radical form?

Question

sqrt(81) * sqrt(16)
(1 point)

sqrt(1296)

9sqrt(16)

36

4sqrt(81)

Answer 1

To simplify the expression \(\sqrt{81} \cdot \sqrt{16}\), we can use the property of square roots that states \(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\).

First, let's calculate the square roots:

\[ \sqrt{81} = 9 \]

\[ \sqrt{16} = 4 \]

Now, we multiply these two results together:

\[ \sqrt{81} \cdot \sqrt{16} = 9 \cdot 4 = 36 \]

Thus, the product of the expression in simplest radical form is:

\[ \boxed{36} \]