Question

4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]

Name: 4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]
Uploaded: 2023-03-21T16:34:04-08:00
Duration: 2 min 45 s
Channel: Hoan Nguyen
Description: 4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]

          4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]

4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]

Added by Marcus T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Hoan Nguyen

03/21/2023

Step 1

e., ord(w) = 3. Show more…

Show all steps

Thanks for your feedback!

Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz)=d and show that d=15.] 4. Suppose that w is a primitive 3rd root of unity and z is a primitive 5th root of unity. Show that wz is a primitive 15th root of unity. [Hint: Set ord(wz) = d and show that d = 15.]