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rewona [7]
3 years ago
11

What is the fourth root of -16?

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

The answer to your question is 2i

Step-by-step explanation:

                                             \sqrt[4]{-16}

- Get the prime factors of -16

                                                  - 16   2

                                                   -  8  2

                                                   -  4  2

                                                   -  2  2

                                                       1

                                   16 = 2⁴

- Express the -16 as a power

                          \sqrt[4]{-2^{4}}  or   \sqrt[4]{2^{4}i^{2}}

Remember that -1 = i²

- Get the fourth root of -16

                                         2i

                               

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