SOMEONE HELP ME PLEASE find the real fifth root of -32

Question

asked Sep 21, 2022 6.4k views

1 Answer

John Knight · Answer 1 · 2022-09-25T20:03:35+0000

Answer: -2

This is because (-2)^5 = -32. Applying the fifth root to both sides lets us say
$-2 = \sqrt[5]{-32}$

There are four other roots but they are complex. Effectively, we are solving the equation
x^5 + 32 = 0