Question

Need help will give you a good rating

Answer 1

Explanation:

Answer 2

Explanation : As you can see,
`√(-16)` is not a real number, and hence should be expressed as 4
`i`,
`i` being an imaginary number. Respectively
`√(-64)` will be 8
`i`. Therefore this expression boils down to
`\left(3+4i\right)\left(6-8i\right)`. All we have to do from now on is expand this expression.

Apply the rule
`\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i`, in this case where
`a=3,\:b=4,\:c=6,\:d=-8`,

`\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i`

Let's simplify each part,
`3\cdot \:6-4\left(-8\right)` and
`3\left(-8\right)+4\cdot \:6`. Afterwards we can add
`i`, and refine.

`3\cdot \:6-4\left(-8\right) = 50` ;
`3\left(-8\right)+4\cdot \:6 = 0`

Therefore our simplified expression will be
`50+0i`, otherwise known as just 50. That is our solution.