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

User HuBeZa
by
7.9k points

1 Answer

8 votes

Answer:

50

Explanation:


√(-64) and
√(-16) can be expressed in complex form, with
√(-1) = i


√(-64) =
√(64(-1)) =
√(64) ×
√(-1) = 8i


√(-16) =
√(16(-1)) =
√(16) ×
√(-1) = 4i

the factors can then be expressed as

(6 + 8i)(3 - 4i) ← expand using FOIL

= 18 - 24i + 24i - 32i² [ i² = (
√(-1) )² = - 1 ]

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

= 18 + 32 + 0

= 50

User Jarek Jakubowski
by
7.5k points

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