# How do you multiply #sqrt(-16) + sqrt(-9)#?

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To multiply ( \sqrt{-16} + \sqrt{-9} ), first simplify each square root:

( \sqrt{-16} = \sqrt{16} \cdot \sqrt{-1} = 4i )

( \sqrt{-9} = \sqrt{9} \cdot \sqrt{-1} = 3i )

Now, multiply the simplified expressions:

( (4i)(3i) = 12i^2 )

Since ( i^2 = -1 ):

( 12i^2 = 12(-1) = -12 )

So, ( \sqrt{-16} + \sqrt{-9} = 4i + 3i = 7i ).

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