Question

look at the example below which shows how the product property of radicals is used to simplify a radical. $sqrt{-36}=sqrt{36}sqrt{-1}=6i$ use the product property of radicals to simplify the following radical. $sqrt{-81}=$ done 9i -9i 9 -9

Explanation:

Step1: Apply product property of radicals

$\sqrt{-81}=\sqrt{81}\times\sqrt{-1}$

Step2: Evaluate square - roots

We know that $\sqrt{81} = 9$ and $\sqrt{-1}=i$, so $\sqrt{81}\times\sqrt{-1}=9i$

Answer:

$9i$