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} = $options:$9i$$-9i$$9$$-9$

Explanation:

Step1: Split radical using product property

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

Step2: Simplify each radical term

$\sqrt{81}=9$, $\sqrt{-1}=i$

Step3: Combine the simplified terms

$9 \times i = 9i$

Answer:

9i