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777dan777 [17]
2 years ago
5

(6+√-64)(3-√-16) Multiply. This is urgent, please explain this to me!

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

50

Step-by-step explanation:

\sqrt{-64} and \sqrt{-16} can be expressed in complex form, with \sqrt{-1} = i

\sqrt{-64} = \sqrt{64(-1)} = \sqrt{64} × \sqrt{-1} = 8i

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

the factors can then be expressed as

(6 + 8i)(3 - 4i) ← expand using FOIL

= 18 - 24i + 24i - 32i² [ i² = (\sqrt{-1} )² = - 1 ]

= 18 - 24i + 24i + 32 ← collect like terms

= 18 + 32 + 0

= 50

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