Question

What is the fourth root of -16?

Answer 1

The answer to your question is 2i

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