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4vir4ik [10]
3 years ago
8

Which choice is equivalent to the expression below? √-27

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0

Answer:

it is 3i√3

Step-by-step explanation:

because √-27= √-9(3)= 3(-1)√3= 3i√3

Katyanochek1 [597]3 years ago
7 0

Answer:

\large\boxed{\sqrt{-27}=3\sqrt3 i}

Step-by-step explanation:

\sqrt{-27}\\\\\text{In the set of real numbers, this number does not exist.}\\\\\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\sqrt{-27}=\sqrt{(27)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}\cdot i=\sqrt9\cdot\sqrt3\cdot i=3\sqrt3 i

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