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MArishka [77]
3 years ago
10

Write this expression as a complex number in standard form

Mathematics
2 answers:
amm18123 years ago
8 0

Answer:

81+144i

Step-by-step explanation:

(-3\sqrt{-81})( -5+\sqrt{-9})+ 9i\\\text{Simplify the radicals}\\\sqrt{-81}=\sqrt{-1*81}=\sqrt{81}\cdot\sqrt{-1}=9i\\\sqrt{-9}=\sqrt{-1*9}=\sqrt9\cdot\sqrt{-1}=3i\\=(-3(9i))(-5+3i)+9i\\(-27i)(-5+3i)+9i\\\text{Distribute}\\=135i-81i^2+9i\\i^2=-1\\=135i+9i-81(-1)\\=81+144i

Radda [10]3 years ago
3 0
The answer is 81+144i
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