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: $$\boxed{{\displaystyle 36}}$$