Question

Find the four fourth roots of -8 + 8√3i. (Give your answer in the form a + bi, where a and b are real numbers. Enter your answers as a comma-separated list.)

Name: find the four fourth roots of 8 8sqrt3i give your answer in the form a bi where a and b are real numbers enter your answers as a comma separated list 22324
Uploaded: 2023-07-31T11:56:27-08:00
Duration: 4 min 34 s
Channel: Madhur L
Description: find the four fourth roots of 8 8sqrt3i give your answer in the form a bi where a and b are real numbers enter your answers as a comma separated list 22324

          Find the four fourth roots of -8 + 8√3i. (Give your answer in the form a + bi, where a and b are real numbers. Enter your answers as a comma-separated list.)

Added by Cristian P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/31/2023

Step 1

The given complex number is -8 + 8√3i. We can find the magnitude (r) and argument (θ) as follows: r = √((-8)^2 + (8√3)^2) = √(64 + 192) = √256 = 16 tan(θ) = (8√3) / (-8) = -√3 θ = arctan(-√3) = -π/3 So, the polar form of the given complex number is 16 * Show more…

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Find the four fourth roots of -8 + 8√3i. (Give your answer in the form a + bi, where a and b are real numbers. Enter your answers as a comma-separated list.)