Question

What is the product of the following expression in simplest radical form radical 81 times radical 16

Answer 1

To find the product of \(\sqrt{81} \times \sqrt{16}\), we can first simplify each square root.

1. Calculate \(\sqrt{81}\):
\[
\sqrt{81} = 9
\]

2. Calculate \(\sqrt{16}\):
\[
\sqrt{16} = 4
\]

Now, we multiply the results:
\[
\sqrt{81} \times \sqrt{16} = 9 \times 4 = 36
\]

If we want to express this in simplest radical form, we can also use the property of square roots:
\[
\sqrt{81} \times \sqrt{16} = \sqrt{81 \times 16}
\]

Calculating \(81 \times 16\):
\[
81 \times 16 = 1296
\]
Now taking the square root of \(1296\):
\[
\sqrt{1296} = 36
\]

Thus, the product of the expression in simplest radical form is:
\[
\boxed{36}
\]