Question

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

\[
\boxed{36}
\]