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Look at the example below which shows how the product property of radicals is used to simplify a radical. square root (-36)= square root (36) square root (-1) = 6i Use the product property of radicals to simplify the following radical. square root -81 =

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Answer:

9i

Step-by-step explanation:

Use the product property of radicals to simplify the following radical.

[tex]\sqrt{-81}[/tex]

-81 can be break into 81 times -1

that is 81  and -1

as per the product property

[tex]\sqrt{-81} =\sqrt{81} * \sqrt{-1}[/tex]

square root (-1) is 'i'

square root (81) is 9

[tex]\sqrt{-81} =\sqrt{81} * \sqrt{-1}[/tex]

[tex]\sqrt{-81} =9* i[/tex]

[tex]\sqrt{-81} =9i[/tex]

Answer:

9i

Step-by-step explanation:

hope this helps

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